Journal ArticleDOI
High order accurate direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes
Walter Boscheri,Michael Dumbser +1 more
TLDR
A new high order accurate fully discrete one-step Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on moving unstructured curvilinear meshes in two and three space dimensions is presented, considering a set of classical numerical test problems on moving meshes.About:
This article is published in Computers & Fluids.The article was published on 2016-09-10. It has received 27 citations till now. The article focuses on the topics: Finite volume method & Volume mesh.read more
Citations
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Journal ArticleDOI
A Comparison of Different Finite Element Methods in the Thermal Analysis of Friction Stir Welding (FSW)
Bahman Meyghani,Mokhtar Awang,Seyed Sattar Emamian,Mohd Khalid B. Mohd Nor,Srinivasa Rao Pedapati +4 more
TL;DR: In this paper, a comparison between different numerical approaches for thermal analysis of friction stir welding at both local and global scales is reviewed and the applications of each method in the FSW process is discussed in detail.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
An efficient class of WENO schemes with adaptive order for unstructured meshes
TL;DR: By extending the Parallel Axis Theorem, it is shown that there is a significant simplification in the finite volume reconstruction of finite volume WENO-AO(4,3) and WenO- aO(5,3), which only requires the solution of a smaller least squares problem on each stencil.
References
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Journal ArticleDOI
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
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.
Book
Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
TL;DR: In this article, the generalized Riemann problem is used to solve the Euler Equation problem and the ADER approach is used for non-linear systems with finite forces in multiple dimensions.
Journal ArticleDOI
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.
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