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A New Third-Order Finite Difference WENO Scheme to Improve Convergence Rate at Critical Points 一种提高临界点收敛速度的三阶有限差分WENO新格式
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-11-26 DOI: 10.1080/10618562.2023.2237898
Xiaogang Li, Tian Xia, Yuxi Deng, Siqi Yang, Yonbin Ge
In this work, a new, improved third-order finite difference weighted essentially non-oscillatory scheme is presented for one- and two-dimensional hyperbolic conservation laws and associated problems. The parameter p which is regulate dissipation is introduced in the nonlinear weights in the framework of the conventional WENO-Z scheme, and the higher-order global smoothness indicator is obtained by the idea of Wang [Wang, Y. H., Y. L. Du, K. L. Zhao and L. Yuan. 2020. ‘A Low-dissipation Third-order Weighted Essentially Nonoscillatory Scheme with a New Reference Smoothness Indicator’. International Journal for Numerical Methods in Fluids. 92 (9): 1212–1234.], the sufficient condition of nonlinear weights is proved by using Taylor expansions. Finally, the value range of parameter p is obtained. The proposed scheme is verified to achieve the optimal order near critical points by linear convection equations with different initial values, and the high-resolution characteristic of the present scheme is proved on a variety of one- and two- dimensional standard numerical examples. Numerical results demonstrate that the proposed scheme gives better performance in comparison with the other third-order WENO schemes.
在这项工作中,提出了一种新的改进的三阶有限差分加权本质非振荡格式,用于一维和二维双曲守恒律和相关问题。在传统WENO-Z格式框架的非线性权值中引入了调节耗散参数p,并采用Wang的思想得到了高阶全局平滑指标[j] . Wang, yyh ., Du yl ., Zhao kl ., Yuan L. 2020。一种具有新的参考平滑指标的低耗散三阶加权基本非振荡格式。流体力学与工程学报,2009(9):1212-1234。],用泰勒展开式证明了非线性权值存在的充分条件。最后得到参数p的取值范围。通过不同初值的线性对流方程,验证了该格式在临界点附近的最优阶,并在各种一维和二维标准数值算例上证明了该格式的高分辨率特性。数值结果表明,与其他三阶WENO算法相比,该算法具有更好的性能。
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引用次数: 0
Parallel Computation Using Non-Overlapping Domain Decomposition Coupled with Compact Local Integrated RBF for Navier–Stokes Equations Navier-Stokes方程的非重叠区域分解与紧致局部积分RBF并行计算
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-11-26 DOI: 10.1080/10618562.2023.2229250
N. Pham-Sy, C. Tran
A non-overlapping domain decomposition-based parallel algorithm coupled with a compact local integrated radial basis function (CLIRBF) method is developed for solving Navier-Stokes equations. For this approach, a problem is divided into subdomains. In each sub-domain, a CLIRBF scheme is applied to solve the Navier-Stokes equations of flows. A relaxation factor is used at the interface between sub-domains to ensure the quick convergence of the present method. The Bitmap termination detection technique is introduced to complete the global termination. The present approach is verified using two fluid flow problems: the lid-driven cavity and the natural convection in concentric annuli flow. The numerical results have demonstrated the efficiency of the present parallel method compared with the corresponding sequential one and other published methods. Especially, super-linear speed-up was achieved for several CPUs. In terms of accuracy, the obtained results are in very good agreement with benchmark results.
提出了一种基于无重叠域分解的并行算法与紧凑局部积分径向基函数(CLIRBF)相结合的求解Navier-Stokes方程的方法。对于这种方法,将一个问题划分为子域。在每个子域中,采用CLIRBF格式求解流的Navier-Stokes方程。在子域之间的界面处加入松弛因子,保证了该方法的快速收敛。引入位图终端检测技术,完成全局终端检测。用两个流体流动问题进行了验证:盖驱动腔和同心环空流动中的自然对流。数值结果表明,与相应的顺序方法和其他已发表的方法相比,该方法是有效的。特别是在多个cpu上实现了超线性加速。在精度方面,所得结果与基准结果非常吻合。
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引用次数: 0
Application of Gas-Kinetic Scheme for Continuum and Near-Continuum Flow on Unstructured Mesh 连续和近连续流动气体动力学格式在非结构网格上的应用
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-10-21 DOI: 10.1080/10618562.2023.2189704
G. Zhao, Chengwen Zhong, Sha Liu, Yong Wang, Congshan Zhuo
A gas-kinetic scheme (GKS) with kinetic boundary condition based on unstructured mesh is present here. In the GKS method, the solid wall boundary conditions can be constructed by virtue of the gas distribution function, which is similar to the diffuse-scattering rule used in the other kinetic schemes. The kinetic boundary condition has a concise form and easy to implement. The use of unstructured mesh expands the adaptability of GKS to simulate the flows with complex geometry. The kinetic boundary condition can recover to the non-slip boundary condition in the continuum regime. In the slip regime, the slip velocity can be accurately predicted by kinetic boundary condition, which turns into the slip boundary condition. The use of kinetic boundary condition improves the calculation results of GKS in near-continuum flow. A series of test cases, from incompressible to compressible flow with a wide range of Knudsen number, are investigated to demonstrate the performance of kinetic boundary condition in near-continuum flow, which can provide a reference for the construction and optimisation for GKS-based multi-scale hybrid algorithms.
本文提出了一种基于非结构网格的带有动力学边界条件的气体动力学格式。在GKS方法中,可以利用气体分布函数来构造固壁边界条件,这与其他动力学格式中使用的扩散-散射规则类似。该动力学边界条件形式简洁,易于实现。非结构化网格的使用扩大了GKS对复杂几何流场模拟的适应性。在连续介质状态下,动力学边界条件可以恢复到无滑移边界条件。在滑移区,滑移速度可由动力学边界条件精确预测,由动力学边界条件转化为滑移边界条件。动力学边界条件的使用改善了近连续流中GKS的计算结果。研究了从不可压缩流到大范围Knudsen数可压缩流的一系列测试用例,验证了近连续流中动力学边界条件的性能,为基于gks的多尺度混合算法的构建和优化提供了参考。
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引用次数: 0
Numerical Study of Compressible Wall-Bounded Turbulence – the Effect of Thermal Wall Conditions on the Turbulent Prandtl Number in the Low-Supersonic Regime 可压缩壁面湍流的数值研究——低超音速条件下热壁条件对湍流普朗特数的影响
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-10-21 DOI: 10.1080/10618562.2023.2189247
D. J. Lusher, G. Coleman
ABSTRACT Direct numerical simulation is used to determine the turbulent Prandtl number above cold (isothermal) and hot (adiabatic) walls in a family of low-supersonic channel flows. A range of mean temperature/density variations, corresponding to effective/edge Mach numbers between 1.1 to 2.2, and wall-variable-based Reynolds number from 73 to 3800, is considered. The adiabatic condition is a new feature of special interest. The value of away from the wall approaches 0.85 above both the isothermal and adiabatic walls. The variations of the near-wall profiles in both the present and previous, passive-scalar simulations collapse as a function of the semilocal wall scaling proposed in 1995 by [Huang, P. G., G. N. Coleman, and P. Bradshaw. 1995. “Compressible Turbulent Channel Flows: DNS Results and Modelling.” Journal of Fluid Mechanics 305: 185–218. doi:10.1017/S0022112095004599.], with only a weak dependence on . This leads to a rather simple proposal for a model of heat transfer, attached to an eddy-viscosity model.
摘要采用直接数值模拟方法确定了一类低声速通道中冷(等温)壁面和热(绝热)壁面上的湍流普朗特数。考虑了一个平均温度/密度变化范围,对应于有效/边缘马赫数在1.1到2.2之间,基于壁面变量的雷诺数在73到3800之间。绝热条件是一个特别有趣的新特征。在等温壁面和绝热壁面以上,离壁面的差值均接近0.85。[Huang, P. G. Coleman, and P. Bradshaw. 1995]在1995年提出的被动标量模拟中,近壁面剖面的变化作为半局部壁面结垢的函数而崩溃。可压缩湍流通道流动:DNS结果和建模。流体力学学报(自然科学版);doi: 10.1017 / S0022112095004599。对…只有微弱的依赖。这导致了一个相当简单的传热模型的提议,附属于涡流粘度模型。
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引用次数: 3
A Momentum-Conserving Weakly Compressible Navier–Stokes Solver for Simulation of Violent Two-Phase Flows with High Density Ratio 一种动量守恒的弱可压缩Navier-Stokes求解器用于模拟高密度比强两相流
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-10-21 DOI: 10.1080/10618562.2023.2202391
Kai Yang, T. Aoki
A consistent and conservative formulation for mass and momentum transport is proposed in the context of simulating incompressible two-phase flows by using weakly compressible method. Combined with the evolving pressure projection method to prevent oscillation of the solution induced by the acoustic wave, this solver aims at a robust and accurate computation of violent two-phase flows with a high density ratio, while taking advantage of fully explicit time integration of the weakly compressible Navier–Stokes equations. Coupled with the volume of fluid method for capturing interfaces, the mass and momentum fluxes are evaluated in a consistent manner using the finite volume method. In addition, a special implementation of the pressure projection is devised to avoid velocity-pressure decoupling on a collocated grid. The solver's accuracy and stability are demonstrated through various two-phase flow simulations, including dam break and liquid jet atomization scenarios, emphasizing its momentum-conserving properties.
在用弱可压缩方法模拟不可压缩两相流的情况下,提出了质量和动量输运的一致保守公式。该求解器利用弱可压缩Navier-Stokes方程的完全显式时间积分,结合压力投影演化法防止了声波引起的解振荡,旨在对高密度比的剧烈两相流进行鲁棒和精确的计算。结合流体体积法捕获界面,采用有限体积法以一致的方式计算质量和动量通量。此外,还设计了一种特殊的压力投影实现,以避免并行网格上的速度-压力解耦。通过各种两相流模拟,包括溃坝和液体射流雾化场景,验证了该求解器的准确性和稳定性,并强调了其动量守恒特性。
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引用次数: 0
Evaluation Method for the Reasonableness of Countermeasures for Defective Products in the Negative-Pressure Molding Mechanism 负压成型机构不良品对策合理性评价方法
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-10-21 DOI: 10.1080/10618562.2023.2192035
Guodong Zhu, Y. Wang, Jianhui Liu, Ji Zhou, Zhenghu Mo
We propose a new digital evaluation model for the negative-pressure molding mechanism, which is used to verify the feasibility of improvement measures for quality problem of the pad. The gas–solid flow in the negative pressure molding system facing the pad of diapers at the molding surface under different outlet pressures is studied using CFD-DEM bidirectional coupling simulation method. Aiming at the concentration of velocity/pressure values in the molding defect region, the uniformity coefficient is used as an important evaluation index to reflect the molding quality, and the parameters are optimised for the velocity and pressure uniformity of the gas phase in the molding defect region. For the fine flocculent discrete element, the parameter calibration is carried out, and the percentage of solid phase bearing at the screen is used as a reference index to further verify the feasibility of the improvement scheme. Finally, the model is applied to an improvement example, the results show that the molding defects of the cotton core layer are related to the velocity distribution of the molding surface. The molding quality can be significantly improved by setting a retaining ring at the outlet of the wind barn. The speed uniformity coefficient is improved by 44.2% when the retaining ring thickness s = 140 mm, inner diameter d = 1000 mm, and the relative position l = 0 mm. The molding quality has been significantly improved.
提出了一种新的负压成型机构的数字化评价模型,用于验证垫块质量问题改进措施的可行性。采用CFD-DEM双向耦合仿真方法,研究了不同出口压力下,面向纸尿裤垫的负压成型系统中成型面气固流动。针对速度/压力值在成型缺陷区域集中的情况,将均匀性系数作为反映成型质量的重要评价指标,针对成型缺陷区域气相速度和压力均匀性进行了参数优化。对细絮体离散元进行了参数标定,并以筛处固相承载百分率作为参考指标,进一步验证改进方案的可行性。最后,将该模型应用于一个改进实例,结果表明:棉芯层的成型缺陷与成型表面的速度分布有关。通过在风仓出口设置挡圈,可显著提高成型质量。当挡圈厚度s = 140 mm,内径d = 1000 mm,相对位置l = 0 mm时,速度均匀系数提高44.2%。成型质量明显提高。
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引用次数: 1
Vorticity Confinement Technique and Blade Element Method for Accurate Propeller Modelling 螺旋桨精确建模的涡度约束技术和叶片单元法
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-09-14 DOI: 10.1080/10618562.2022.2164276
Y. Chandukrishna, T. N. Venkatesh
Traditional CFD techniques are not effective in preserving wakes and vortices over larger distances and for longer times. Vorticity Confinement (VC) technique helps counter the numerical diffusion to preserve wakes and vortices. In the current study, VC was used to accurately model the propeller flow using two different propeller modelling techniques after being implemented into SU2, an open-source CFD solver. One resolves flow past the propeller by solving RANS equations in a rotating reference frame. Another is a simplified propeller modelling technique in which the propeller needs to be modelled as a disk, and the propeller loading is determined using the blade element method. In the first case, VC enabled tip and hub vortices to convect over larger distances from the propeller, along with an improved resolution of gradients in the tip vortex. With the latter technique, VC helped conserve the tangential velocities for longer distances.
传统的CFD技术不能有效地在更大的距离和更长的时间内保持尾流和涡流。涡度约束(VC)技术有助于对抗数值扩散,以保持尾迹和涡。在本研究中,VC被应用到开源CFD求解器SU2中,使用两种不同的螺旋桨建模技术对螺旋桨流动进行精确建模。一种方法是通过在旋转参考系中求解RANS方程来求解流过螺旋桨的气流。另一种是简化螺旋桨建模技术,该技术将螺旋桨建模为一个圆盘,并采用叶片单元法确定螺旋桨载荷。在第一种情况下,VC使叶尖和轮毂涡在距离螺旋桨更大的距离上对流,同时提高了叶尖涡梯度的分辨率。使用后一种技术,VC有助于将切向速度保存到更远的距离。
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引用次数: 0
Numerical Simulations and Design Optimization of Compressor Cascade Flow Using One Equation and Wray-Agarwal Turbulence Model 基于单方程和Wray-Agarwal湍流模型的压气机叶栅流动数值模拟及设计优化
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-09-14 DOI: 10.1080/10618562.2023.2187050
Zhihui Li, R. Agarwal
The unsteady simulations are conducted, and the computed results with WA model are compared with the experimental data in conjunction with the simulation results obtained using traditional models. It is shown that on the mid-span sections of the cascade airfoils the distributions of near-wall static pressure coefficients from each turbulence model agree well with the experimental data. On the lower spanwise sections, the discrepancy between the numerical simulations and experimental data generally increases. Among the three turbulence models, the WA turbulence model shows better agreement with the experimental data in predicting the spanwise total pressure losses downstream of the cascade blade. The WA model is then embedded into the adjoint optimisation loop to test its capability in minimising the flow losses in the compressor cascade passage. The optimisation results show that the total pressure loss coefficient of the optimised compressor cascade is reduced by 18.1% compared to the baseline design.
进行了非定常数值模拟,并将WA模型的计算结果与实验数据进行了比较,并结合传统模型的仿真结果进行了比较。结果表明,在叶栅翼型跨中截面上,各湍流模型的近壁静压系数分布与实验数据吻合较好。在较低的展向截面上,数值模拟与实验数据的差异普遍增大。在三种湍流模型中,WA湍流模型在预测叶栅下游展向总压损失方面与实验数据吻合较好。然后将WA模型嵌入到伴随优化回路中,以测试其在最小化压缩机叶栅通道中的流动损失方面的能力。优化结果表明,与基准设计相比,优化后的压气机叶栅总压损失系数降低了18.1%。
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引用次数: 0
Numerical Investigation of a Simplified Wing–body Junction Flow 简化翼-体结合部流动的数值研究
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-09-14 DOI: 10.1080/10618562.2022.2162892
Zi-Qiao Wei, J. Li, Songxiang Tang
The flow past a simplified wing-body junction configuration is simulated using a shear layer adaptive improved delayed detached-eddy-simulation (SLA-IDDES) approach in which an appropriate subgrid lengthscale is adopted in the boundary region, where the grid may be strongly anisotropic, to prevent the excessive generation of subgrid-scale eddy viscosity. The numerical results show overall good agreement with the experiment carried out by Ölçmen and Simpson. The self-induced chaotic switching of the horseshoe vortex between two flow modes is simulated and analysed, and its effects on the vortex legs and their inherent oscillation are also investigated. It is found that the corner vortex also exhibits an alternating formation and breakdown process with basically the same frequency as the horseshoe vortex. Corner separation is found to be affected also by the upstream horseshoe vortex and the inherent oscillation of the vortex legs.
采用剪切层自适应改进延迟分离涡模拟(SLA-IDDES)方法模拟经过简化翼身结合部结构的流动,该方法在网格可能具有强各向异性的边界区域采用适当的亚网格长度尺度,以防止亚网格尺度涡流粘度的过度产生。数值计算结果与Ölçmen和Simpson的实验结果基本一致。模拟和分析了马蹄涡在两种流动模式之间的自生混沌切换,并研究了其对涡腿及其固有振荡的影响。结果表明,角涡也表现出与马蹄形涡频率基本相同的交替形成和击穿过程。研究发现,上游的马蹄形涡和涡腿的固有振荡也会对角分离产生影响。
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引用次数: 0
On the Contribution of Wall Distance Fields to the Adjoint of a RANS Model 壁面距离场对RANS模型伴随量的贡献
IF 1.3 4区 工程技术 Q4 MECHANICS Pub Date : 2022-09-14 DOI: 10.1080/10618562.2023.2176487
Matteo Ugolotti, P. Orkwis, Nathan A. Wukie
The adjoint method has been extensively used in many areas of CFD such as gradient-based shape optimisation. When utilising the RANS equations for simulating turbulent flows, the adjoint method requires a scrupulous differentiation of the RANS equations, including the wall distance contribution. This can be a challenging task and a potential source of inaccuracy for functional sensitivities if not correctly executed. This paper presents a formulation for including the contribution of an equation-based wall distance model to the discrete adjoint of a RANS model. The proposed formulation is tested in a gradient-based optimisation scenario and the effects of the wall distance adjoint fields on the functional sensitivities are investigated. Neglecting the contribution of the wall distance adjoint yields an error in the functional sensitivities with respect to volume mesh nodes. Including the wall distance adjoint restores the accuracy of the functional sensitivities yielding better convergence of the design optimisation.
伴随方法已广泛应用于CFD的许多领域,如基于梯度的形状优化。当利用RANS方程模拟湍流时,伴随方法需要对RANS方程进行细致的微分,包括壁面距离的贡献。如果执行不当,这可能是一项具有挑战性的任务,也是功能灵敏度不准确的潜在来源。本文提出了一种将基于方程的壁距模型的贡献包含到RANS模型的离散伴随中的公式。在基于梯度的优化方案中测试了所提出的公式,并研究了壁距伴随场对功能灵敏度的影响。忽略壁面距离伴随的贡献会导致相对于体积网格节点的功能灵敏度出现误差。包括墙距伴随恢复了功能灵敏度的准确性,产生了更好的设计优化的收敛性。
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引用次数: 0
期刊
International Journal of Computational Fluid Dynamics
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