A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal and polyhedral meshes (u)
- Los Alamos National Laboratory
We construct a new mimetic tensor artificial viscosity on general polygonal and polyhedral meshes. The tensor artificial viscosity is based on a mimetic discretization of coordinate invariant operators, divergence of a tensor and gradient of a vector. The focus of this paper is on the symmetric form, div ({mu},{var_epsilon}(u)), of the tensor artificial viscosity where {var_epsilon}(u) is the symmetrized gradient of u and {mu}, is a tensor. The mimetic discretizations of this operator is derived for the case of a full tensor coefficient {mu}, that may reflect a shock direction. We demonstrate performance of the new viscosity for the Noh implosion, Sedov explosion and Saltzman piston problems in both Cartesian and axisymmetric coordinate systems.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1046547
- Report Number(s):
- LA-UR-11-00219; LA-UR-11-219; TRN: US201215%%508
- Country of Publication:
- United States
- Language:
- English
Similar Records
Mimetic finite difference method for the stokes problem on polygonal meshes
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor