K. Krupin, M. Kislov, V.I. Bahmetev, E.M. Kildyushov
The purpose of this work is to establish the possibility of using the finite element analysis method to study complex stress states in case of a femur fracture with subsequent data visualization. Experimental data were obtained on a solid-state mathematical parametric model of the femur, created on the basis of computer tomogram data, and repeating studies on native biological objects. As a result of mathematical modeling, oblique transverse and helical fractures of the diaphysis of the femur with elements of helical deformation were studied. The application of finite element analysis made it possible to visualize and predict the stresses arising in bone tissue under the impact of a blunt solid object in a complex stress state and the morphological features of femoral shaft fractures under different torsional loading forces of the proximal part of the femur. The data on the mechanism and morphology of the femoral shaft fracture obtained during modeling are confirmed by the results of original full-scale experiments.
{"title":"Mathematical Modeling and Visualization of a Complex Stress State in Case of a Fracture of the Femoral Diaphysis","authors":"K. Krupin, M. Kislov, V.I. Bahmetev, E.M. Kildyushov","doi":"10.26583/sv.16.1.10","DOIUrl":"https://doi.org/10.26583/sv.16.1.10","url":null,"abstract":"The purpose of this work is to establish the possibility of using the finite element analysis method to study complex stress states in case of a femur fracture with subsequent data visualization. Experimental data were obtained on a solid-state mathematical parametric model of the femur, created on the basis of computer tomogram data, and repeating studies on native biological objects. As a result of mathematical modeling, oblique transverse and helical fractures of the diaphysis of the femur with elements of helical deformation were studied. The application of finite element analysis made it possible to visualize and predict the stresses arising in bone tissue under the impact of a blunt solid object in a complex stress state and the morphological features of femoral shaft fractures under different torsional loading forces of the proximal part of the femur. The data on the mechanism and morphology of the femoral shaft fracture obtained during modeling are confirmed by the results of original full-scale experiments.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"74 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140794572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the paper, modifications of visualization algorithms for real-valued functions of two and three arguments given on a rectangular or parallelepipedal grid are considered. In the case of two arguments, the graph of the function is a surface embedded into the three-dimensional space. The majority of scientific visualization systems offer visualization procedures for such surfaces, but they construct them under the assumption that the functions are continuous. In the paper, for the case of a discontinuous function, a modification of this algorithm is proposed. In addition, the algorithm removes “plateaus” that occur after cutting the function at some level (in order to remove too large values). Visualization of a function of three arguments implies showing its level sets, that is, regions of the space of arguments where the magnitudes of the function do not exceed a certain value. In the case of a grid function, such sets are “voxel” sets, that is, they are composed of grid cells. With that, some smoothing of the surface of such sets is required, which is carried out by the Marching Cubes algorithm and algorithms of the Laplacian family. A modification of the Marching Cubes algorithm is proposed, which preserves the symmetry of the set surface with respect to the coordinate planes, axes, or some point, if the rendered set has such a symmetry.
{"title":"Modifications of Classical Surface Reconstruction Algorithms for Visualization of a Function Defined on a Rectangular Grid","authors":"N. V. Munts, S. Kumkov","doi":"10.26583/sv.16.1.01","DOIUrl":"https://doi.org/10.26583/sv.16.1.01","url":null,"abstract":"In the paper, modifications of visualization algorithms for real-valued functions of two and three arguments given on a rectangular or parallelepipedal grid are considered. In the case of two arguments, the graph of the function is a surface embedded into the three-dimensional space. The majority of scientific visualization systems offer visualization procedures for such surfaces, but they construct them under the assumption that the functions are continuous. In the paper, for the case of a discontinuous function, a modification of this algorithm is proposed. In addition, the algorithm removes “plateaus” that occur after cutting the function at some level (in order to remove too large values).\u0000 Visualization of a function of three arguments implies showing its level sets, that is, regions of the space of arguments where the magnitudes of the function do not exceed a certain value. In the case of a grid function, such sets are “voxel” sets, that is, they are composed of grid cells. With that, some smoothing of the surface of such sets is required, which is carried out by the Marching Cubes algorithm and algorithms of the Laplacian family. A modification of the Marching Cubes algorithm is proposed, which preserves the symmetry of the set surface with respect to the coordinate planes, axes, or some point, if the rendered set has such a symmetry.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"293 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140779568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Many application tasks of multidimensional data analysis which describe the state of real physical or other systems face with difficulties. This is a consequence of the low-quality source data, including missing values, the probability of errors or unreliability of measurements. Incomplete data can become an obstacle for research using many modern informational methods. The current work examines the potential and capabilities of visual analytics tools for preliminary preparation, correction or complete analysis of primary data volumes. A promising area of application of the approach discussed in the study is the targeted use of visualization capabilities as a data analysis tool. The implementation of specialized visual metaphors is used to solve problems of processing and interpreting data, the sources of which are cyberphysical systems of different complexity levels. Such systems operate in an autonomous or partially controlled mode. A characteristic feature of these systems is the presence of a large number of sensors that collect various types of data. Such data differ in the capacity of the corresponding information channels, their speed and reliability. Examples of such cyberphysical systems are unmanned aerial vehicles (UAVs), robotic stations, and multimodal monitoring systems. These systems can function in conditions where it is difficult to obtain objective observation experience (deep-sea robots). The effective use of data collected by cyberphysical monitoring systems is a condition for solving a large number of application and research tasks.
{"title":"Visualization in Data Reconstruction Tasks","authors":"A. Shklyar, A. Zakharova, E. Vekhter","doi":"10.26583/sv.16.1.06","DOIUrl":"https://doi.org/10.26583/sv.16.1.06","url":null,"abstract":"Many application tasks of multidimensional data analysis which describe the state of real physical or other systems face with difficulties. This is a consequence of the low-quality source data, including missing values, the probability of errors or unreliability of measurements. Incomplete data can become an obstacle for research using many modern informational methods. The current work examines the potential and capabilities of visual analytics tools for preliminary preparation, correction or complete analysis of primary data volumes.\u0000 A promising area of application of the approach discussed in the study is the targeted use of visualization capabilities as a data analysis tool. The implementation of specialized visual metaphors is used to solve problems of processing and interpreting data, the sources of which are cyberphysical systems of different complexity levels. Such systems operate in an autonomous or partially controlled mode. A characteristic feature of these systems is the presence of a large number of sensors that collect various types of data. Such data differ in the capacity of the corresponding information channels, their speed and reliability. Examples of such cyberphysical systems are unmanned aerial vehicles (UAVs), robotic stations, and multimodal monitoring systems. These systems can function in conditions where it is difficult to obtain objective observation experience (deep-sea robots). The effective use of data collected by cyberphysical monitoring systems is a condition for solving a large number of application and research tasks.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"159 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140766173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The work visualizes flows corresponding to the exact solutions of the system of hydrodynamic equations previously published by the authors, consisting of the vector Navier-Stokes equation and the law of conservation of mass for an incompressible fluid. This work uses the MathGL library for the C/C++ language and ParaView for scientific visualization of the results of numerical and analytical calculations. Without the use of such means, it would be impossible to see that the fluid flow is stratified into invariant subregions, and the trajectories of motion of fluid particles are wound on torus-shaped surfaces. Most of the scientific works on the study of hydrodynamic equations cover the results of calculations and do not address the questions of the existence of exact analytical solutions. At the same time, these calculations are performed with a specially selected set of fitting parameters unique to the equipment used and the computer software used. Questions about trust in the results of such calculations, their verification with exact solutions and the creation of a bank of test examples of applied problems in order to certify the applicability of the calculation results in practice become relevant.
{"title":"Visualization of Flow of a Viscous Incompressible Fluid Corresponding to Exact Solutions of the Navier-Stokes Equations","authors":"V. A. Galkin, A. Dubovik, D.A. Morgun","doi":"10.26583/sv.16.1.05","DOIUrl":"https://doi.org/10.26583/sv.16.1.05","url":null,"abstract":"The work visualizes flows corresponding to the exact solutions of the system of hydrodynamic equations previously published by the authors, consisting of the vector Navier-Stokes equation and the law of conservation of mass for an incompressible fluid. This work uses the MathGL library for the C/C++ language and ParaView for scientific visualization of the results of numerical and analytical calculations. Without the use of such means, it would be impossible to see that the fluid flow is stratified into invariant subregions, and the trajectories of motion of fluid particles are wound on torus-shaped surfaces.\u0000 Most of the scientific works on the study of hydrodynamic equations cover the results of calculations and do not address the questions of the existence of exact analytical solutions. At the same time, these calculations are performed with a specially selected set of fitting parameters unique to the equipment used and the computer software used. Questions about trust in the results of such calculations, their verification with exact solutions and the creation of a bank of test examples of applied problems in order to certify the applicability of the calculation results in practice become relevant.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"879 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140774586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. Arbuzov, V. Arbuzov, Yu. N. Dubnishchev, O. Zolotukhina, M. Lapikov, V. Lukashov
The possibility of processing small-view hilbertograms by the Gershberg-Papulis method to restore the refractive index of phase objects is discussed. The method consists in iterative transitions from estimating a function in the Fourier plane to estimating it in a coordinate space with an adjustment using a priori information. The spectrum of the function is determined on the entire frequency plane as an iterative process result Numerical simulation of the refractive index reconstruction for various test functions was performed using the Gershberg-Papulis method using Radon data known for four angles. Experimental studies on the Hilbert diagnostics example of reacting media (flames) in a high-speed shooting mode (up to 2000 frames per second) were performed using a four-angle tomographic complex implemented on the basis of an upgraded IAB-463M shadow device.
{"title":"Possibility of Using the Gershberg-Papoulis Method in the Problem of Phase Structure Reconstructing from Low-angle Hilbertograms","authors":"E. Arbuzov, V. Arbuzov, Yu. N. Dubnishchev, O. Zolotukhina, M. Lapikov, V. Lukashov","doi":"10.26583/sv.16.1.02","DOIUrl":"https://doi.org/10.26583/sv.16.1.02","url":null,"abstract":"The possibility of processing small-view hilbertograms by the Gershberg-Papulis method to restore the refractive index of phase objects is discussed. The method consists in iterative transitions from estimating a function in the Fourier plane to estimating it in a coordinate space with an adjustment using a priori information. The spectrum of the function is determined on the entire frequency plane as an iterative process result Numerical simulation of the refractive index reconstruction for various test functions was performed using the Gershberg-Papulis method using Radon data known for four angles. Experimental studies on the Hilbert diagnostics example of reacting media (flames) in a high-speed shooting mode (up to 2000 frames per second) were performed using a four-angle tomographic complex implemented on the basis of an upgraded IAB-463M shadow device.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"289 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140777395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The basis of the research hypothesis is the assumption that in wooden structures, deformations and stresses propagate in waves. The numerical experiment demonstrated a correct qualitative visual picture of the wave propagation of deformations, with wave manifestations and characteristic effects on the surface of the sample, at axial and corner points. Visually, the numerical model showed Rayleigh waves on the surface layer of the sample, depending on the ratio of the external geometric dimensions of the sample model, with pronounced wave interference on the outer shell. The visual manifestation of deformation on the outer sides (faces) and the reflection of deformation waves from the outer boundaries of the elastic medium of the sample in the form of Rayleigh waves confirm the correctness of the general hypothesis and the implemented model. Visualization of the process of emergence, propagation and attenuation of deformation waves on the surface of the sample shows that in the quantitative description of the deformation gradient, areas dangerous for the material can be identified.
{"title":"Visualization of Deformation and Stress Waves in Wooden Solid and Glued Elements of Building Structures.","authors":"P.G. Romanov, P. Sivtsev","doi":"10.26583/sv.16.1.08","DOIUrl":"https://doi.org/10.26583/sv.16.1.08","url":null,"abstract":"The basis of the research hypothesis is the assumption that in wooden structures, deformations and stresses propagate in waves. The numerical experiment demonstrated a correct qualitative visual picture of the wave propagation of deformations, with wave manifestations and characteristic effects on the surface of the sample, at axial and corner points. Visually, the numerical model showed Rayleigh waves on the surface layer of the sample, depending on the ratio of the external geometric dimensions of the sample model, with pronounced wave interference on the outer shell. The visual manifestation of deformation on the outer sides (faces) and the reflection of deformation waves from the outer boundaries of the elastic medium of the sample in the form of Rayleigh waves confirm the correctness of the general hypothesis and the implemented model. Visualization of the process of emergence, propagation and attenuation of deformation waves on the surface of the sample shows that in the quantitative description of the deformation gradient, areas dangerous for the material can be identified.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"75 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140792228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I.D. Musikhin, V. V. Kapustin, A. Tislenko, A. Movchan, S.A. Zabuga
The paper presents the results of software development for building depth maps based on video data from a television camera of an active-pulse television measuring system (AP TMS) in real time domain. The development of such software is required to conduct various scientific studies, as well as to improve the methods and techniques for building depth maps and remote measurement of the characteristics of objects of interest. The software was implemented using the Python programming language with additional libraries installed. According to the results of testing the implemented algorithm, it was found that the calculation speed using the graphics processing unit (GPU) is on average 3.5 times higher than the speed of the algorithm using only the central processing unit (CPU). It has been established that with the help of CUDA cores it is possible to build depth maps in real time domain at the maximum possible resolution of video frames of the system (1544x2064 pixels), while when using the central processor, real-time operation is possible only at a reduced resolution of video frames (772x1032 pixels).
本文介绍了根据有源脉冲电视测量系统（AP TMS）电视摄像机的视频数据实时绘制深度图的软件开发成果。开发此类软件是开展各种科学研究的需要，也是改进绘制深度图和远程测量感兴趣物体特征的方法和技术的需要。该软件使用 Python 编程语言实现，并安装了附加库。根据对所实施算法的测试结果，发现使用图形处理器（GPU）的计算速度比仅使用中央处理器（CPU）的算法速度平均高出 3.5 倍。经证实，在 CUDA 内核的帮助下，可以在系统视频帧的最大分辨率（1544x2064 像素）下实时绘制深度图，而使用中央处理器时，只能在视频帧的较低分辨率（772x1032 像素）下进行实时操作。
{"title":"Building Depth Maps Using an Active-Pulse Television Measuring System in Real Time Domain","authors":"I.D. Musikhin, V. V. Kapustin, A. Tislenko, A. Movchan, S.A. Zabuga","doi":"10.26583/sv.16.1.04","DOIUrl":"https://doi.org/10.26583/sv.16.1.04","url":null,"abstract":"The paper presents the results of software development for building depth maps based on video data from a television camera of an active-pulse television measuring system (AP TMS) in real time domain. The development of such software is required to conduct various scientific studies, as well as to improve the methods and techniques for building depth maps and remote measurement of the characteristics of objects of interest. The software was implemented using the Python programming language with additional libraries installed. According to the results of testing the implemented algorithm, it was found that the calculation speed using the graphics processing unit (GPU) is on average 3.5 times higher than the speed of the algorithm using only the central processing unit (CPU). It has been established that with the help of CUDA cores it is possible to build depth maps in real time domain at the maximum possible resolution of video frames of the system (1544x2064 pixels), while when using the central processor, real-time operation is possible only at a reduced resolution of video frames (772x1032 pixels).","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"89 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140778980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The study of supramolecular “host-guest” complexes in solutions is of fundamental and practical significance. The structures and formation enthalpy of supramolecular complexes for the 4-DASPI dye with two cavitands (cucurbit[6]uril and cucurbit[7]uril) have been obtained by the TDDFT quantum chemistry method with a camb3lyp basis. It was shown by visualization of the structures that the size of cucurbit[6]uril is too small and doesn’t allow the dye chromophore to penetrate into the cavitand cavity while the dye stays in the ground state, but the formation of an external complex is possible. On the contrary, formation of an inclusion complex with the cucurbit[7]uril is energetically favorable, and the dye chromophore penetrates into the cavity. Visualization of the complex structure allows us to determine the chromophore position relative to the given cavitand cavity, and thus we can predict the changes in the dye spectra due to complexation. The theoretical results of the work are in good correlation with the experiment.
{"title":"Structure Visualization of 4-DASPI–Cucurbituril Supramolecular Complex to Predict the Solvatochromic Shift of Absorption Spectrum","authors":"A. Stepko, P. Lebedev-Stepanov","doi":"10.26583/sv.16.1.03","DOIUrl":"https://doi.org/10.26583/sv.16.1.03","url":null,"abstract":"The study of supramolecular “host-guest” complexes in solutions is of fundamental and practical significance. The structures and formation enthalpy of supramolecular complexes for the 4-DASPI dye with two cavitands (cucurbit[6]uril and cucurbit[7]uril) have been obtained by the TDDFT quantum chemistry method with a camb3lyp basis. It was shown by visualization of the structures that the size of cucurbit[6]uril is too small and doesn’t allow the dye chromophore to penetrate into the cavitand cavity while the dye stays in the ground state, but the formation of an external complex is possible. On the contrary, formation of an inclusion complex with the cucurbit[7]uril is energetically favorable, and the dye chromophore penetrates into the cavity. Visualization of the complex structure allows us to determine the chromophore position relative to the given cavitand cavity, and thus we can predict the changes in the dye spectra due to complexation. The theoretical results of the work are in good correlation with the experiment.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"158 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140767727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper considers an approach to solving the Cauchy problem for an example of a partial differential equation of the first order under given boundary conditions by the functional voxel method (FVM). The proposed approach uses the accumulated experience of differentiation and integration into FV- modeling to obtain local geometric characteristics of triangular elements on the surface of the resulting function in the process of linear approximation. The analytical solution of a simple example of a partial differential equation of the first order for the Cauchy problem is analyzed. Based on the obtained analytical solution, FV-model is constructed for further comparison with the results obtained by means of FV-modeling. The algorithm for solving the example is described by means of FV-modeling. A visual and numerical comparative analysis is carried out to determine the difference between the obtained results of FV-modeling and the accepted standard. The main difference between solving such a problem by numerical methods is the results obtained. In numerical methods, the result is the value of the function at the approximation nodes, and the FV-model at the nodes contains local geometric characteristics (gradient components in a space enlarged by one), which makes it possible to obtain a nodal local function of an implicit form, as well as a differential local function of an explicit form. The proposed graphical representation of the function area on a computer provides not only visual visibility, but also compact storage compared to a traditional array of real numbers.
{"title":"Functional-Voxel Modeling of The Cauchy Problem","authors":"A. Tolok, N. Tolok","doi":"10.26583/sv.16.1.09","DOIUrl":"https://doi.org/10.26583/sv.16.1.09","url":null,"abstract":"The paper considers an approach to solving the Cauchy problem for an example of a partial differential equation of the first order under given boundary conditions by the functional voxel method (FVM). The proposed approach uses the accumulated experience of differentiation and integration into FV- modeling to obtain local geometric characteristics of triangular elements on the surface of the resulting function in the process of linear approximation. The analytical solution of a simple example of a partial differential equation of the first order for the Cauchy problem is analyzed. Based on the obtained analytical solution, FV-model is constructed for further comparison with the results obtained by means of FV-modeling. The algorithm for solving the example is described by means of FV-modeling. A visual and numerical comparative analysis is carried out to determine the difference between the obtained results of FV-modeling and the accepted standard. The main difference between solving such a problem by numerical methods is the results obtained. In numerical methods, the result is the value of the function at the approximation nodes, and the FV-model at the nodes contains local geometric characteristics (gradient components in a space enlarged by one), which makes it possible to obtain a nodal local function of an implicit form, as well as a differential local function of an explicit form. The proposed graphical representation of the function area on a computer provides not only visual visibility, but also compact storage compared to a traditional array of real numbers.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"311 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140776558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The phenomenon of wave attractor, originating from ocean dynamics, in the last couple decades has become widely-studied both laboratorily and numerically. However, their discoveries in wild nature are still rare hence deepwater ones are out of technique, and attractor in smaller basins cannot form because of energy overinjection. In the current work we show that attractor may exist in shallower depths regardless the depth of the basin’s bottom. Basing on the peculiar dispersion relation typical for stratified fluid attractors can be ”trapped” in a narrow halocline layer which may facilitate their detection in the nature. Additionally, we discuss the formed flow structure visualization problems.
{"title":"Halocline Internal Wave Attractors Visualization","authors":"S. Elistratov","doi":"10.26583/sv.16.1.07","DOIUrl":"https://doi.org/10.26583/sv.16.1.07","url":null,"abstract":"The phenomenon of wave attractor, originating from ocean dynamics, in the last couple decades has become widely-studied both laboratorily and numerically. However, their discoveries in wild nature are still rare hence deepwater ones are out of technique, and attractor in smaller basins cannot form because of energy overinjection. In the current work we show that attractor may exist in shallower depths regardless the depth of the basin’s bottom. Basing on the peculiar dispersion relation typical for stratified fluid attractors can be ”trapped” in a narrow halocline layer which may facilitate their detection in the nature. Additionally, we discuss the formed flow structure visualization problems.","PeriodicalId":38328,"journal":{"name":"Scientific Visualization","volume":"336 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140759905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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