Los Alamos National Laboratory Computational Physics Summer Student Workshop (Final Report)

Technical Report · Fri Aug 17 00:00:00 EDT 2012

DOI:https://doi.org/10.2172/1048870· OSTI ID:1048870

Lung, Tyler B. ^[1]; Roe, Phil ^[2]; Morgan, Nathaniel R. ^[3]

---

1. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Michigan, Ann Arbor, MI (United States)
2. Univ. of Michigan, Ann Arbor, MI (United States)
3. Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

The numerical solution of highly compressible, multi-material flows is an ongoing research area. These types of flows can be solved with a Lagrangian type mesh which moves with the material in a simulation to allow precise material interface tracking. Currently, researchers at Los Alamos National Laboratory and elsewhere are investigating cell-centered Lagrangian algorithms with the aim of producing methods that have second-order accuracy, preserve symmetry, and do not generate spurious vorticity. The new cell-centered algorithms solve a Riemann-like problem at the vertex of a cell. Professor Phil Roe at the University of Michigan has proposed a new structure for Lagrangian hydrodynamic algorithms that does not rely on the solution of the Riemann problem. The new approach utilizes Flux Corrected Transport (FCT) and it implements a form of vorticity control. The first step in the development of this method has been to construct an algorithm that solves the acoustic equations on an Eulerian mesh. The algorithm, which builds on the work of Morton and Roe, calculates fluxes at cell vertices, attains second-order accuracy using FCT, and has the special property of preserving vorticity. Results are presented that confirm the second order accuracy of the scheme and the vorticity preserving properties. The results are compared to the output produced by a MUSCL-Hancock algorithm. Some discussion of limiting methods for the FCT algorithm is also given.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1048870
• Report Number(s): LA-UR--12-24140
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
97 MATHEMATICS AND COMPUTING
ACCURACY
ACOUSTICS
ALGORITHMS
Engineering(42)
HYDRODYNAMICS
LAGRANGIAN FUNCTION
LANL
Mathematics & Computing(97)
NUMERICAL SOLUTION
PHYSICS
SIMULATION
SYMMETRY
TRANSPORT