Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.037
Y. Shimizu
. Multi-objective Topology Optimization has been receiving more and more attention in structural design recently. It attempts to maximize several performance objectives by redistributing the material in a design space for a given set of boundary conditions and constraints, yielding many Pareto-optimal solutions. However, the high number of solutions makes it difficult to identify preferred designs. Therefore, an automatic way of summarizing solutions is needed for selecting interesting designs according to certain criteria, such as crashworthiness, deformation, and stress state. One approach for summarization is to cluster similar designs and obtain design representatives based on a suitable metric. For example, with Euclidean distance of the objective functions as the metric, design groups with similar performance can be identified and only the representative designs from different clusters may be analyzed. However, previous research has not dealt with the deformation-related time-series data of structures with different topologies. Since the non-linear dynamic behavior of designs is important in various fields such as vehicular crashworthiness, a clustering method based on time-dependent behavior of structures is proposed here. To compare the time-series displacement data of selected nodes in the structure and to create similarity matrices of those datasets, euclidean metrics and Dynamic Time Warping (DTW) are introduced. This is combined with clustering techniques such as k-medoids and Ordering Points To Identify the Clustering Structure (OPTICS), and we investigate the use of unsupervised learning methods to identify and group similar designs using the time series of nodal displacement data. In the first part, we create simple time-series datasets using a mass-spring system to validate the proposed methods. Each dataset has predefined clusters of data with distinct behavior such as different periods or modes. Then, we demonstrate that the combination of metrics for comparison of time series (Euclidean and DTW) and the clustering method (k-medoids and OPTICS) can identify the clusters of similar behavior accurately. In the second part, we apply these methods to a more realistic, engineering dataset of nodal displacement time series describing the crash behavior of topologically-optimized designs. We identify similar structures and obtain representative designs from each cluster. This reveals that the suggested method is useful in analyzing dynamic crash behavior and supports the designers in selecting representative structures based on deformation data at the early stages of the design process.
{"title":"Deformation Clustering Methods for Topologically Optimized Structures under Crash Load based on Displacement Time Series","authors":"Y. Shimizu","doi":"10.23967/wccm-apcom.2022.037","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.037","url":null,"abstract":". Multi-objective Topology Optimization has been receiving more and more attention in structural design recently. It attempts to maximize several performance objectives by redistributing the material in a design space for a given set of boundary conditions and constraints, yielding many Pareto-optimal solutions. However, the high number of solutions makes it difficult to identify preferred designs. Therefore, an automatic way of summarizing solutions is needed for selecting interesting designs according to certain criteria, such as crashworthiness, deformation, and stress state. One approach for summarization is to cluster similar designs and obtain design representatives based on a suitable metric. For example, with Euclidean distance of the objective functions as the metric, design groups with similar performance can be identified and only the representative designs from different clusters may be analyzed. However, previous research has not dealt with the deformation-related time-series data of structures with different topologies. Since the non-linear dynamic behavior of designs is important in various fields such as vehicular crashworthiness, a clustering method based on time-dependent behavior of structures is proposed here. To compare the time-series displacement data of selected nodes in the structure and to create similarity matrices of those datasets, euclidean metrics and Dynamic Time Warping (DTW) are introduced. This is combined with clustering techniques such as k-medoids and Ordering Points To Identify the Clustering Structure (OPTICS), and we investigate the use of unsupervised learning methods to identify and group similar designs using the time series of nodal displacement data. In the first part, we create simple time-series datasets using a mass-spring system to validate the proposed methods. Each dataset has predefined clusters of data with distinct behavior such as different periods or modes. Then, we demonstrate that the combination of metrics for comparison of time series (Euclidean and DTW) and the clustering method (k-medoids and OPTICS) can identify the clusters of similar behavior accurately. In the second part, we apply these methods to a more realistic, engineering dataset of nodal displacement time series describing the crash behavior of topologically-optimized designs. We identify similar structures and obtain representative designs from each cluster. This reveals that the suggested method is useful in analyzing dynamic crash behavior and supports the designers in selecting representative structures based on deformation data at the early stages of the design process.","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121183781","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.054
J. Schultz, K. Springer, J. Roberson, J. Carroll, M. Hegbloom
. When completed in 1961, the roof of St. Charles Church became the largest unbalanced hyperbolic paraboloid structure in the world and the only shell structure in Spokane, WA. Situated on an 8-acre site on the north side of the city, St. Charles is a modernist structure designed through partnership of Funk, Molander & Johnson and architect William C. James. This asymmetric structure is over 45.72m (150ft) and utilizes folded edge beams that taper from 1067mm (42in) at the base to a 76.2mm (3in) thickness at the topmost edge using regular strength reinforcing steel and concrete. The novelty of the shell structure serves both architectural and structural design criteria by delivering a large, uninterrupted interior sanctuary space in materially and economically efficient manner. Having previously completed an initial analysis of the structure, now, 60 years later, a complete structural forensic evaluation of the shell has been conducted using full point cloud laser scanning to
． 圣查尔斯教堂的屋顶于1961年完工，成为世界上最大的非平衡双曲抛物面结构，也是华盛顿州斯波坎市唯一的壳结构。圣查尔斯位于城市北侧占地8英亩的土地上，是一座现代主义建筑，由Funk, Molander & Johnson和建筑师William C. James合作设计。这个不对称的结构超过45.72米(150英尺)，利用折叠的边缘梁，从底部的1067毫米(42英寸)到顶部边缘的76.2毫米(3英寸)厚度，使用常规强度的钢筋和混凝土。壳结构的新颖性满足了建筑和结构设计标准，以材料和经济高效的方式提供了一个大的、不间断的内部庇护空间。在之前完成了对结构的初步分析之后，现在，60年后，对外壳进行了完整的结构法医评估，使用全点云激光扫描
{"title":"Forensic Evaluation of Historic Shell Structure: Development of In-Situ Geometry","authors":"J. Schultz, K. Springer, J. Roberson, J. Carroll, M. Hegbloom","doi":"10.23967/wccm-apcom.2022.054","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.054","url":null,"abstract":". When completed in 1961, the roof of St. Charles Church became the largest unbalanced hyperbolic paraboloid structure in the world and the only shell structure in Spokane, WA. Situated on an 8-acre site on the north side of the city, St. Charles is a modernist structure designed through partnership of Funk, Molander & Johnson and architect William C. James. This asymmetric structure is over 45.72m (150ft) and utilizes folded edge beams that taper from 1067mm (42in) at the base to a 76.2mm (3in) thickness at the topmost edge using regular strength reinforcing steel and concrete. The novelty of the shell structure serves both architectural and structural design criteria by delivering a large, uninterrupted interior sanctuary space in materially and economically efficient manner. Having previously completed an initial analysis of the structure, now, 60 years later, a complete structural forensic evaluation of the shell has been conducted using full point cloud laser scanning to","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"37 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114007192","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.104
D. Lins, S. Franke
. The end-grain bonding of timber components with the Timber Structures 3.0 technology (TS3) is an emerging construction method in timber engineering. For onsite applications at low ambient temperatures down to 0 °C, it is being investigated numerically and experimentally if it’s possible to heat the butt-joint to above 17 °C during the curing process using a heating wire. The current research results show that this is basically possible.
{"title":"Simulation of the temperature distribution in glued butt-joint timber connections","authors":"D. Lins, S. Franke","doi":"10.23967/wccm-apcom.2022.104","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.104","url":null,"abstract":". The end-grain bonding of timber components with the Timber Structures 3.0 technology (TS3) is an emerging construction method in timber engineering. For onsite applications at low ambient temperatures down to 0 °C, it is being investigated numerically and experimentally if it’s possible to heat the butt-joint to above 17 °C during the curing process using a heating wire. The current research results show that this is basically possible.","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114761855","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.042
E. Kazama, A. Kikuchi
. A new discretization analysis method named the isolated element method, that differ from conventional FEM, for solid mechanical problems is proposed. An object to be analyzed is divided into the elements that are separated from each other. A set of displacement functions providing arbitrary number of degrees of freedom is used for each isolated element which expresses the translation and rotation of a rigid body. The extended principle of minimum potential energy is applied to satisfy the continuity of the displacement of isolated elements adjoining to each other. Any node or spring, penalty functions and Lagrange multipliers are not used in this method. The displacement functions of the power series are used to describe the mechanical state of the isolated element and finally, the coefficients of series are determined by a variational principle derived from the extended principle of minimum potential energy. Furthermore, a new mixed and hybrid variational principle which is composed from the potential and the complemental energy functional is proposed. The pair of these energy are constrained by a formula. Using this new principle, in which stress and displacement can be used as independent variables, the stress and displacement are computed at the same time. Besides, upper and lower bounds solutions are analyzed using the new principle and the isolated element method. Some computed examples of the plane stress problems are presented. We show the good convergency of the numerical results, and also present the upper and lower bound results of stress and displacement by the new mixed and hybrid variational principle using the isolated element method
{"title":"Development of Isolated Element Method and Analysis of Upper and Lower bound solutions by a New Mixed-Hybrid Variational principle","authors":"E. Kazama, A. Kikuchi","doi":"10.23967/wccm-apcom.2022.042","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.042","url":null,"abstract":". A new discretization analysis method named the isolated element method, that differ from conventional FEM, for solid mechanical problems is proposed. An object to be analyzed is divided into the elements that are separated from each other. A set of displacement functions providing arbitrary number of degrees of freedom is used for each isolated element which expresses the translation and rotation of a rigid body. The extended principle of minimum potential energy is applied to satisfy the continuity of the displacement of isolated elements adjoining to each other. Any node or spring, penalty functions and Lagrange multipliers are not used in this method. The displacement functions of the power series are used to describe the mechanical state of the isolated element and finally, the coefficients of series are determined by a variational principle derived from the extended principle of minimum potential energy. Furthermore, a new mixed and hybrid variational principle which is composed from the potential and the complemental energy functional is proposed. The pair of these energy are constrained by a formula. Using this new principle, in which stress and displacement can be used as independent variables, the stress and displacement are computed at the same time. Besides, upper and lower bounds solutions are analyzed using the new principle and the isolated element method. Some computed examples of the plane stress problems are presented. We show the good convergency of the numerical results, and also present the upper and lower bound results of stress and displacement by the new mixed and hybrid variational principle using the isolated element method","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126357284","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.068
V. Tsotoulidi, P. Karakitsios, P. Kolios, G. Mprellas
. In this paper, the new Geomiso SEA software (www.geomiso.com) is proposed for inelastic static isogeometric analysis with shell elements and splines. Geomiso SEA offers an innovative way to merge geometric design with mesh generation, by creating, with its modern user interface, 3D models as tensor product grids. The utilization of the exact mesh for analysis eliminates geometric errors, while there is no need of repeating the geometry design for refinement purposes. In contrast, the standard finite element technique, not only cannot fully utilize the available data of the exact mesh, but also makes engineers unable to benefit from advanced spline techniques. Real world and industry applications on both thick (Mindlin-Reissner) and thin (Kirchhoff – Love) shells are demonstrated with a comparison between Geomiso
{"title":"Modeling and Analysis of Real World and Industry Applications with Geomiso SEA: a New Hybrid CAD/CAE Software for Inelastic Static Isogeometric Shell Analysis and 3D Design with Advanced Spline Techniques","authors":"V. Tsotoulidi, P. Karakitsios, P. Kolios, G. Mprellas","doi":"10.23967/wccm-apcom.2022.068","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.068","url":null,"abstract":". In this paper, the new Geomiso SEA software (www.geomiso.com) is proposed for inelastic static isogeometric analysis with shell elements and splines. Geomiso SEA offers an innovative way to merge geometric design with mesh generation, by creating, with its modern user interface, 3D models as tensor product grids. The utilization of the exact mesh for analysis eliminates geometric errors, while there is no need of repeating the geometry design for refinement purposes. In contrast, the standard finite element technique, not only cannot fully utilize the available data of the exact mesh, but also makes engineers unable to benefit from advanced spline techniques. Real world and industry applications on both thick (Mindlin-Reissner) and thin (Kirchhoff – Love) shells are demonstrated with a comparison between Geomiso","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131116296","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.063
S. Mizuno, Y. Chikahiro, S. Koyama
. Aluminum alloy is a light-weight material with excellent corrosion resistance but low rigidity. When the aluminum alloy is used to a girder bridge, it takes high costs owing to the increment of its stiffness. Therefore in order to reduce a material cost, the cost minimization problem was performed on beam string structure (BSS) made of the aluminum alloy material based on the results of the topology optimization. We focused on the layout of the BSS and diameter of the cable. The conducted simulation made clear the effectivity of the BSS to the aluminum alloy material for a reduction of material cost and increment of the beam span.
{"title":"Material Cost Minimization Problem for Aluminum Alloy Beam using Beam String Structure","authors":"S. Mizuno, Y. Chikahiro, S. Koyama","doi":"10.23967/wccm-apcom.2022.063","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.063","url":null,"abstract":". Aluminum alloy is a light-weight material with excellent corrosion resistance but low rigidity. When the aluminum alloy is used to a girder bridge, it takes high costs owing to the increment of its stiffness. Therefore in order to reduce a material cost, the cost minimization problem was performed on beam string structure (BSS) made of the aluminum alloy material based on the results of the topology optimization. We focused on the layout of the BSS and diameter of the cable. The conducted simulation made clear the effectivity of the BSS to the aluminum alloy material for a reduction of material cost and increment of the beam span.","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133073435","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.087
H. Okawa, S. Omoto, S. Yagi, T. Miyamoto, K. Kashiyama
. This paper presents a fast and accurate classification method for underwater objects using underwater mapping data obtained by a small Autonomous Underwater Vehicle (AUV) and autonomous surface vehicle (ASV). For the mapping data, in addition to underwater acoustic reflection intensity images, water depth data, point cloud data and backscattering reflection intensity data are employed. We propose the automatic classification and semantic segmentation method on deep learning using a convolutional neural network (CNN) and PointNet++. In order to verify the effectiveness of the present method, we applied it to the measured several underwater mapping data.
{"title":"Object Classification and Segmentation Based on Deep Learning Using Underwater Mapping Data","authors":"H. Okawa, S. Omoto, S. Yagi, T. Miyamoto, K. Kashiyama","doi":"10.23967/wccm-apcom.2022.087","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.087","url":null,"abstract":". This paper presents a fast and accurate classification method for underwater objects using underwater mapping data obtained by a small Autonomous Underwater Vehicle (AUV) and autonomous surface vehicle (ASV). For the mapping data, in addition to underwater acoustic reflection intensity images, water depth data, point cloud data and backscattering reflection intensity data are employed. We propose the automatic classification and semantic segmentation method on deep learning using a convolutional neural network (CNN) and PointNet++. In order to verify the effectiveness of the present method, we applied it to the measured several underwater mapping data.","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115789936","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.039
T. Yasui, Y. Yoshida, H. Hasebe, K. Kashiyama
{"title":"Development of a Fluid-Structure Interaction Method Using IGA","authors":"T. Yasui, Y. Yoshida, H. Hasebe, K. Kashiyama","doi":"10.23967/wccm-apcom.2022.039","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.039","url":null,"abstract":"","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116896883","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.121
R. Ferreyra
. The transport of logarithmic potentials provides a dynamical equilibrium that allows obtaining the lasting time estimation of a dynamical process. Bayesian rules are applied as a bridge between logarithmic potentials and the transport equation to obtain the potential associated with the interaction between systems. In this work, a data set from a chemical process is considered to test the method. Then, to enrich the analysis, an actual prediction by dynamical components is perform that illustrates how long every process and the global common process last.
{"title":"Transport of logarithmic potentials versus process duration","authors":"R. Ferreyra","doi":"10.23967/wccm-apcom.2022.121","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.121","url":null,"abstract":". The transport of logarithmic potentials provides a dynamical equilibrium that allows obtaining the lasting time estimation of a dynamical process. Bayesian rules are applied as a bridge between logarithmic potentials and the transport equation to obtain the potential associated with the interaction between systems. In this work, a data set from a chemical process is considered to test the method. Then, to enrich the analysis, an actual prediction by dynamical components is perform that illustrates how long every process and the global common process last.","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117032922","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}
Pub Date : 1900-01-01DOI: 10.23967/wccm-apcom.2022.004
P. Jagad, B. Mantravadi, M. Wang, A. Abukhwejah, R. Samtaney
. We present a framework for computing flows on surfaces based on a discrete exterior calculus (DEC) discretization of Navier-Stokes (N-S) equations on simplicial meshes. The framework incorpo-rates primitive formulation of the N-S equations and allows for a time integration method which features energy conservation [1]. Other features of the framework consist of the inclusion of the Coriolis force term to investigate flows on rotating surfaces, and an interface tracking method for multiphase flows. The method is second order accurate on structured triangular meshes, and first order on otherwise unstructured meshes, and demonstrates the conservation of inviscid invariants such as kinetic energy and enstrophy over an extended period of time [2].
{"title":"A Discrete Exterior Calculus Based Framework for CFD","authors":"P. Jagad, B. Mantravadi, M. Wang, A. Abukhwejah, R. Samtaney","doi":"10.23967/wccm-apcom.2022.004","DOIUrl":"https://doi.org/10.23967/wccm-apcom.2022.004","url":null,"abstract":". We present a framework for computing flows on surfaces based on a discrete exterior calculus (DEC) discretization of Navier-Stokes (N-S) equations on simplicial meshes. The framework incorpo-rates primitive formulation of the N-S equations and allows for a time integration method which features energy conservation [1]. Other features of the framework consist of the inclusion of the Coriolis force term to investigate flows on rotating surfaces, and an interface tracking method for multiphase flows. The method is second order accurate on structured triangular meshes, and first order on otherwise unstructured meshes, and demonstrates the conservation of inviscid invariants such as kinetic energy and enstrophy over an extended period of time [2].","PeriodicalId":429847,"journal":{"name":"15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII)","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128983554","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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