Communications in Applied Mathematics and Computational Science最新文献_第2页

Numerical methods for coupling multigroup radiation with ion and electron temperatures 多基团辐射与离子和电子温度耦合的数值方法

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2022-02-26 DOI: 10.2140/camcos.2022.17.43

C. Enaux, S. Guisset, C. Lasuen, G. Samba

引用次数: 0

Spectral steady-state solutions to the 2D compressible Euler equations for cross-mountain flows 跨山流动二维可压缩欧拉方程的谱稳态解

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2021-06-22 DOI: 10.2140/camcos.2021.16.99

J. Guerra, P. Ullrich

引用次数: 1

Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows 可压缩流动中捕捉激波和湍流谱的有限体积方法研究

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2020-06-03 DOI: 10.2140/camcos.2020.15.1_

Emmanuel Motheau,John Wakefield

{"title":"Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows","authors":"Emmanuel Motheau,John Wakefield","doi":"10.2140/camcos.2020.15.1_","DOIUrl":"https://doi.org/10.2140/camcos.2020.15.1_","url":null,"abstract":"Author(s): Motheau, E; Wakefield, J | Abstract: © Mathematical Sciences Publishers. The aim of the present paper is to provide a comparison between several finitevolume methods of different numerical accuracy: the second-order Godunov method with PPM interpolation and the high-order finite-volume WENO method. The results show that while on a smooth problem the high-order method performs better than the second-order one, when the solution contains a shock all the methods collapse to first-order accuracy. In the context of the decay of compressible homogeneous isotropic turbulence with shocklets, the actual overall order of accuracy of the methods reduces to second-order, despite the use of fifth-order reconstruction schemes at cell interfaces. Most important, results in terms of turbulent spectra are similar regardless of the numerical methods employed, except that the PPM method fails to provide an accurate representation in the high-frequency range of the spectra. It is found that this specific issue comes from the slope-limiting procedure and a novel hybrid PPM/WENO method is developed that has the ability to capture the turbulent spectra with the accuracy of a high-order method, but at the cost of the second-order Godunov method. Overall, it is shown that virtually the same physical solution can be obtained much faster by refining a simulation with the second-order method and carefully chosen numerical procedures, rather than running a coarse high-order simulation. Our results demonstrate the importance of evaluating the accuracy of a numerical method in terms of its actual spectral dissipation and dispersion properties on mixed smooth/shock cases, rather than by the theoretical formal order of convergence rate.","PeriodicalId":49265,"journal":{"name":"Communications in Applied Mathematics and Computational Science","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2020-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138524723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods 椭圆界面问题的粘逆风局部不连续伽辽金法多网格解

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2019-12-31 DOI: 10.2140/camcos.2019.14.247

R. Saye

{"title":"Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods","authors":"R. Saye","doi":"10.2140/camcos.2019.14.247","DOIUrl":"https://doi.org/10.2140/camcos.2019.14.247","url":null,"abstract":"Author(s): Saye, RI | Abstract: © 2019 Mathematical Sciences Publishers. With an emphasis on achieving ideal multigrid solver performance, this paper explores the design of local discontinuous Galerkin schemes for multiphase elliptic interface problems. In particular, for cases exhibiting coefficient discontinuities several orders in magnitude, the role of viscosity-weighted numerical fluxes on interfacial mesh faces is examined: findings support a known strategy of harmonic weighting, but also show that further improvements can be made via a stronger kind of biasing, denoted herein as viscosity-upwinded weighting. Applying this strategy, multigrid performance is assessed for a variety of elliptic interface problems in 1D, 2D, and 3D, across 16 orders of viscosity ratio. These include constant-and variable-coefficient problems, multiphase checkerboard patterns, implicitly defined interfaces, and 3D problems with intricate geometry. With the exception of a challenging case involving a lattice of vanishingly small droplets, in all demonstrated examples the condition number of the multigrid V-cycle preconditioned system has unit order magnitude, independent of the mesh size h.","PeriodicalId":49265,"journal":{"name":"Communications in Applied Mathematics and Computational Science","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80871248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 10

Potential field formulation based on decomposition of the electric field for a nonlinear induction hardening model 基于电场分解的非线性感应硬化模型的势场公式

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2019-10-04 DOI: 10.2140/camcos.2019.14.175

T. Kang, Ran Wang, Huai Zhang

引用次数: 4

Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows 可压缩流动中捕捉激波和湍流谱的有限体积方法研究

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2019-02-13 DOI: 10.2140/camcos.2020.15.1

Emmanuel Motheau, J. Wakefield

{"title":"Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows","authors":"Emmanuel Motheau, J. Wakefield","doi":"10.2140/camcos.2020.15.1","DOIUrl":"https://doi.org/10.2140/camcos.2020.15.1","url":null,"abstract":"The aim of the present paper is to provide a comparison between several finite-volume methods of different numerical accuracy: second-order Godunov method with PPM interpolation and high-order finite-volume WENO method. The results show that while on a smooth problem the high-order method perform better than the second-order one, when the solution contains a shock all the methods collapse to first-order accuracy. In the context of the decay of compressible homogeneous isotropic turbulence with shocklets, the actual overall order of accuracy of the methods reduces to second-order, despite the use of fifth-order reconstruction schemes at cell interfaces. Most important, results in terms of turbulent spectra are similar regardless of the numerical methods employed, except that the PPM method fails to provide an accurate representation in the high-frequency range of the spectra. It is found that this specific issue comes from the slope-limiting procedure and a novel hybrid PPM/WENO method is developed that has the ability to capture the turbulent spectra with the accuracy of a high-order method, but at the cost of the second-order Godunov method. Overall, it is shown that virtually the same physical solution can be obtained much faster by refining a simulation with the second-order method and carefully chosen numerical procedures, rather than running a coarse high-order simulation. Our results demonstrate the importance of evaluating the accuracy of a numerical method in terms of its actual spectral dissipation and dispersion properties on mixed smooth/shock cases, rather than by the theoretical formal order of convergence rate.","PeriodicalId":49265,"journal":{"name":"Communications in Applied Mathematics and Computational Science","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2019-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86244705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 17

Computation of volume potentials on structured grids with the method of local corrections 用局部修正法计算结构网格上的体积势

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2018-10-30 DOI: 10.2140/camcos.2018.13.337

Chris Kavouklis,Phillip Colella

引用次数: 0

Computing the quasipotential for highlydissipative and chaotic SDEs an application to stochastic Lorenz’63 计算高耗散和混沌SDEs的准势及其在随机Lorenz ' 63中的应用

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2018-09-26 DOI: 10.2140/camcos.2019.14.207

M. Cameron, Shuo Yang

引用次数: 5

A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior 史瓦西黑洞外部相对论伯格方程和欧拉方程的数值研究

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2018-09-25 DOI: 10.2140/CAMCOS.2018.13.271

P. LeFloch, Shuyang Xiang

引用次数: 5

Efficient high-order discontinuous Galerkin computations of low Mach number flows 低马赫数流动的高效高阶不连续伽辽金计算

IF 2.1 3区数学

Communications in Applied Mathematics and Computational Science Pub Date : 2018-09-25 DOI: 10.2140/CAMCOS.2018.13.243

J. Zeifang, K. Kaiser, A. Beck, J. Schütz, C. Munz

引用次数: 14