A coupled ALE-AMR method for shock hydrodynamics

被引：10

作者：

Waltz, J. ^{[1
]}

Bakosi, J. ^{[2
]}

机构：

[1] Los Alamos Natl Lab, Weapon Syst Engn Div, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Comp Computat & Stat Sci Div, Los Alamos, NM USA

来源：

COMPUTERS & FLUIDS | 2018年 / 167卷

关键词：

Adaptive mesh refinement; Arbitrary Lagrangian-Eulerian; Shock hydrodynamics; Unstructured grids; ADAPTIVE MESH REFINEMENT; GEOMETRIC CONSERVATION LAW; LAGRANGIAN-EULERIAN METHOD; 3D UNSTRUCTURED GRIDS; FINITE-VOLUME SCHEME; FLOW CALCULATIONS; MOVING MESHES; COMPUTATIONS; VELOCITIES; EQUATIONS;

D O I：

10.1016/j.compfluid.2018.03.021

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a numerical method combining adaptive mesh refinement (AMR) with arbitrary Lagrangian-Eulerian (ALE) mesh motion for the simulation of shock hydrodynamics on unstructured grids. The primary goal of the coupled method is to use AMR to reduce numerical error in ALE simulations at reduced computational expense relative to uniform fine mesh calculations, in the same manner that AMR has been used in Eulerian simulations. We also identify deficiencies with ALE methods that AMR is able to mitigate, and discuss the unique coupling challenges. The coupled method is demonstrated using three-dimensional unstructured meshes of up to O(10(7)) tetrahedral cells. Convergence of ALE-AMR solutions towards both uniform fine mesh ALE results and analytic solutions is demonstrated. Speed-ups of 5-10 x for a given level of error are observed relative to uniform fine mesh calculations. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：359 / 371

页数：13

共 49 条

[1] An arbitrary Lagrangian-Eulerian method with adaptive mesh refinement for the solution of the Euler equations [J].

Anderson, RW ;

Elliott, NS ;

Pember, RB .

JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 199 (02) :598-617

[2]

[Anonymous], 2018, Similarity and dimensional methods in mechanics

[3] An adaptive Fixed-Mesh ALE method for free surface flows [J].

Baiges, Joan ;

Codina, Ramon ;

Pont, Arnau ;

Castillo, Ernesto .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2017, 313 :159-188

[4] Improved ALE mesh velocities for complex flows [J].

Bakosi, Jozsef ;

Waltz, Jacob ;

Morgan, Nathaniel .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2017, 85 (11) :662-671

[5] A compatible finite element multi-material ALE hydrodynamics algorithm [J].

Barlow, A. J. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 56 (08) :953-964

[6] On the choice of wavespeeds for the HLLC Riemann solver [J].

Batten, P ;

Clarke, N ;

Lambert, C ;

Causon, DM .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (06) :1553-1570

[7] ADAPTIVE MESH REFINEMENT FOR HYPERBOLIC PARTIAL-DIFFERENTIAL EQUATIONS [J].

BERGER, MJ ;

OLIGER, J .

JOURNAL OF COMPUTATIONAL PHYSICS, 1984, 53 (03) :484-512

[8] A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D [J].

Boscheri, Walter ;

Dumbser, Michael .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 275 :484-523

[9] A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows [J].

Charest, Marc R. J. ;

Canfield, Thomas R. ;

Morgan, Nathaniel R. ;

Waltz, Jacob ;

Wohlbier, John G. .

COMPUTERS & FLUIDS, 2015, 114 :172-192

[10]

Charest MRJ, 2015, P AIAA AER SCI M

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