Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux
Journal of Computational Physics
Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations
SIAM Journal on Scientific and Statistical Computing
An efficient, accurate, simple ALE method for nonlinear finite element programs
Computer Methods in Applied Mechanics and Engineering
Vorticity errors in multidimensional Lagrangian codes
Journal of Computational Physics
Momentum advection on a staggered mesh
Journal of Computational Physics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
Multilevel k-way partitioning scheme for irregular graphs
Journal of Parallel and Distributed Computing
Reconstructing volume tracking
Journal of Computational Physics
Journal of Computational Physics
Formulations of artificial viscosity for multi-dimensional shock wave computations
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Conservative remapping and region overlays by intersecting arbitrary polyhedra
Journal of Computational Physics
A unified coordinate system for solving the two-dimensional Euler equations
Journal of Computational Physics
Journal of Computational Physics
Incremental remapping as a transport&slash;advection algorithm
Journal of Computational Physics
A tensor artificial viscosity using a mimetic finite difference algorithm
Journal of Computational Physics
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
Journal of Computational Physics
Second-order sign-preserving conservative interpolation (remapping) on general grids
Journal of Computational Physics
Geometric Tools for Computer Graphics
Geometric Tools for Computer Graphics
An efficient linearity-and-bound-preserving remapping method
Journal of Computational Physics
A finite element method for three-dimensional unstructured grid smoothing
Journal of Computational Physics
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
SIAM Journal on Scientific Computing
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
A general topology Godunov method
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Journal of Computational Physics
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Hi-index | 31.45 |
This paper presents an effective second-order three-dimensional unstructured multi-material arbitrary Lagrangian-Eulerian (MMALE) method for compressible fluid dynamics. This is an integration work. The MMALE method utilizes Moment of Fluid (MOF) capability with interface reconstruction for multi-material modeling of immiscible fluids. It is of the explicit time-marching Lagrange plus remap type. In the Lagrangian phase, the staggered compatible discretization for Lagrangian gas dynamics is used also with Tipton's pressure relaxation model for the closure of mixed cells. For the remapping phase, an improved second-order cell-intersection-based method for three-dimensional unstructured mesh is presented. It is conservative for remapping cell-centered variables such as density and internal energy. It is suitable for remapping between two meshes with different topology. By using this remapping method, the new material centroid position in the rezoned cells can be geometrically computed. This enables it to be combined with the MOF algorithm for constructing a second-order MMALE method. The MMALE method can be implemented on three-dimensional unstructured hexahedral meshes. Numerical results have proved the accuracy and robustness of the MMALE method.