Hybrid Schemes with High-Order Multioperators for Computing Discontinuous Solutions

被引：3

作者：

Tolstykh, A. I. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

high-order multioperators; hybrid schemes; problem with discontinuous solutions; Navier-Stokes equations; FLUX-CORRECTED TRANSPORT; DIFFERENCE-SCHEMES; CONSERVATION LAWS; EQUATIONS; SYSTEMS; APPROXIMATIONS;

D O I：

10.1134/S0965542513070178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results are presented concerning high-order multioperator schemes and their monotonized versions as applied to the computation of discontinuous solutions. Two types of hybrid schemes are considered. Solutions of several test problems, including those with extremely strong discontinuities, are presented. An example of solving the Navier-Stokes equations at low supersonic Mach numbers by applying multioperator schemes without monotonization is given.

引用

页码：1303 / 1322

页数：20

共 50 条

[41] High-order local discontinuous Galerkin method for simulating wormhole propagation [J].

Guo, Hui ;

Tian, Lulu ;

Xu, Ziyao ;

Yang, Yang ;

Qi, Ning .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 :247-261

[42] High-order schemes for acoustic waveform simulation [J].

Kim, Seongjai ;

Lim, Hyeona .

APPLIED NUMERICAL MATHEMATICS, 2007, 57 (04) :402-414

[43] High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods [J].

Escobar-Vargas, J. A. ;

Diamessis, P. J. ;

Giraldo, F. X. .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) :4825-4848

[44] An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions [J].

Zahr, M. J. ;

Persson, P. -O. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 365 :105-134

[45] High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains [J].

Fisher, Travis C. ;

Carpenter, Mark H. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 252 :518-557

[46] High-order flux correction/finite difference schemes for strand grids [J].

Katz, Aaron ;

Work, Dalon .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 282 :360-380

[47] Invariants Preserving Time-Implicit Local Discontinuous Galerkin Schemes for High-Order Nonlinear Wave Equations [J].

Zheng, Wei ;

Xu, Yan .

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2024,

[48] ENTROPY SYMMETRIZATION AND HIGH-ORDER ACCURATE ENTROPY STABLE NUMERICAL SCHEMES FOR RELATIVISTIC MHD EQUATIONS [J].

Wu, Kailiang ;

Shu, Chi-Wang .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (04) :A2230-A2261

[49] High-order accurate difference schemes for the Hodgkin-Huxley equations [J].

Amsallem, David ;

Nordstrom, Jan .

JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 252 :573-590

[50] Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement [J].

Schaal, Kevin ;

Bauer, Andreas ;

Chandrashekar, Praveen ;

Pakmor, Ruediger ;

Klingenberg, Christian ;

Springel, Volker .

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2015, 453 (04) :4278-4300

← 1 2 3 4 5 →