A coupled ALE-AMR method for shock hydrodynamics

Waltz, J.; Bakosi, J.

doi:10.1016/j.compfluid.2018.03.021

A coupled ALE-AMR method for shock hydrodynamics

Journal Article · Mon Mar 05 00:00:00 EST 2018 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2018.03.021· OSTI ID:1425758

Waltz, J. ^[1]; ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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(10⁷) tetrahedral cells. Convergence of ALE-AMR solutions towards both uniform fine mesh ALE results and analytic solutions is demonstrated. Speed-ups of 5-10× for a given level of error are observed relative to uniform fine mesh calculations.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1425758

Alternate ID(s):: OSTI ID: 1691990

Report Number(s):: LA-UR-16-29081

Journal Information:: Computers and Fluids, Journal Name: Computers and Fluids Vol. 167; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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