Vertex-centroid finite volume scheme on tetrahedral grids for conservation laws
作者： Praveen Chandrashekar , Ashish Garg
DOI: 10.1016/J.CAMWA.2012.10.013
关键词: Maximum principle 、 Finite volume method 、 Mathematical optimization 、 Tetrahedron 、 Euler equations 、 Flux limiter 、 Applied mathematics 、 Interpolation 、 Mathematics 、 Conservation law 、 Centroid
摘要: Vertex-centroid schemes are cell-centered finite volume for conservation laws which make use of both centroid and vertex values to construct high-resolution schemes. The must be obtained through a consistent averaging (interpolation) procedure while the updated by scheme. A modified interpolation scheme is proposed better than existing in giving positive weights formula. simplified reconstruction also more efficient leads robust discontinuous problems. For scalar laws, we develop limited versions stable maximum norm constructing suitable limiters. applied compressible flows governed Euler equations inviscid gas dynamics.
acm.org
harvard.edu
arxiv.org
sci-hub.se 参考文章(22)
Antony Jameson, John C Vassberg, None, A Vertex-Centroid (V-C) Scheme for the Gas-Dynamics Equations Computational Fluid Dynamics 2000. pp. 37- 52 ,(2001) , 10.1007/978-3-642-56535-9_4
Timothy J Barth, None, Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations In AGARD. ,(1994)
Chi-Wang Shu, Stanley Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes,II Journal of Computational Physics. ,vol. 83, pp. 32- 78 ,(1989) , 10.1016/0021-9991(89)90222-2
Dimitri J. Mavriplis, Unstructured-Mesh Discretizations and Solvers for Computational Aerodynamics AIAA Journal. ,vol. 46, pp. 1281- 1298 ,(2007) , 10.2514/1.34681
Ami Harten, On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes ,(2017)
Randall J. LeVeque, Jonathan B. Goodman, On the Accuracy of Stable Schemes for 2d Scalar Conservation Laws ,(2018)
S. H. Lui, K. Xu, Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations Zeitschrift für Angewandte Mathematik und Physik. ,vol. 52, pp. 62- 78 ,(2001) , 10.1007/PL00001540
Neal Frink, Recent Progress Toward a Three-Dimensional Unstructured Navier-Stokes Flow Solver 32nd Aerospace Sciences Meeting and Exhibit. ,(1994) , 10.2514/6.1994-61
The Formation of a Blast Wave by a Very Intense Explosion. I. Theoretical Discussion Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 201, pp. 159- 174 ,(1950) , 10.1098/RSPA.1950.0049
TIMOTHY BARTH, DENNIS JESPERSEN, The design and application of upwind schemes on unstructured meshes 27th Aerospace Sciences Meeting. ,(1989) , 10.2514/6.1989-366