Journal ArticleDOI
Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws
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TLDR
A new family of efficient high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) one-step ADER-MOOD finite volume schemes for the solution of nonlinear hyperbolic systems of conservation laws for moving unstructured triangular and tetrahedral meshes is presented.About:
This article is published in Journal of Computational Physics.The article was published on 2015-07-01. It has received 56 citations till now. The article focuses on the topics: Finite volume method & Discretization.read more
Citations
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Journal ArticleDOI
Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes
TL;DR: A novel family of arbitrary high order accurate central Weighted ENO (CWENO) finite volume schemes for the solution of nonlinear systems of hyperbolic conservation laws on fixed and moving unstructured simplex meshes in two and three space dimensions is presented.
Journal ArticleDOI
Arbitrary-Lagrangian–Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
Walter Boscheri,Michael Dumbser +1 more
TL;DR: In this paper, a new family of high order accurate fully discrete one-step Discontinuous Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of nonlinear hyperbolic PDE in multiple space dimensions, which may also include parabolic terms in order to model dissipative transport processes, like molecular viscosity or heat conduction.
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High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
Elena Gaburro,Walter Boscheri,Simone Chiocchetti,Christian Klingenberg,Volker Springel,Michael Dumbser +5 more
TL;DR: A new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian Finite Volume and Discontinuous Galerkin schemes for the solution of nonlinear hyperbolic PDE systems on moving two-dimensional Voronoi meshes that are regenerated at each time step and which explicitly allow topology changes in time.
Journal ArticleDOI
High order ADER schemes for continuum mechanics
TL;DR: The unified symmetric hyperbolic and thermodynamically compatible (SHTC) formulation of continuum mechanics developed by Godunov, Peshkov, and Romenski is presented, which allows to describe fluid and solid mechanics in one single and unified first orderhyperbolic system.
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Space–time adaptive ADER-DG schemes for dissipative flows: Compressible Navier–Stokes and resistive MHD equations
TL;DR: The present results show clearly that the shock-capturing capability of the news schemes is significantly enhanced within a cell-by-cell Adaptive Mesh Refinement (AMR) implementation together with time accurate local time stepping (LTS).
References
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Book
Riemann Solvers and Numerical Methods for Fluid Dynamics
TL;DR: In this article, the authors present references and index Reference Record created on 2004-09-07, modified on 2016-08-08 and a reference record created on 2003-09 -07.
Journal ArticleDOI
Efficient Implementation of Weighted ENO Schemes
Guang-Shan Jiang,Chi-Wang Shu +1 more
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
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Methods in Computational Physics
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An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds
C.W Hirt,A.A. Amsden,J.L Cook +2 more
TL;DR: In this article, a new numerical technique is presented that has many advantages for obtaining solutions to a wide variety of time-dependent multidimensional fluid dynamics problems, including stability, accuracy, and zoning.