Accurate conservative remapping (rezoning) for arbitrary Lagrangian-Eulerian computations
SIAM Journal on Scientific and Statistical Computing
A general topology Godunov method
Journal of Computational Physics
An efficient, accurate, simple ALE method for nonlinear finite element programs
Computer Methods in Applied Mechanics and Engineering
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Journal of Computational Physics
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Journal of Computational Physics
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Introduction to “An arbitrary Lagrangian-Eulerian computing method for all flow speeds”
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
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Journal of Computational Physics
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Journal of Computational Physics
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SIAM Journal on Scientific Computing
Conservative remapping and region overlays by intersecting arbitrary polyhedra
Journal of Computational Physics
Incremental remapping as a transport&slash;advection algorithm
Journal of Computational Physics
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
Journal of Computational Physics
An efficient linearity-and-bound-preserving remapping method
Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
A high order accurate conservative remapping method on staggered meshes
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Journal of Computational Physics
Rezoning techniques for arbitrary Lagrangian-Eulerian computations
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Journal of Computational Physics
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods
Journal of Computational and Applied Mathematics
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Journal of Computational Physics
Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Optimization-Based modeling with applications to transport: part 3. computational studies
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Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.54 |
An accurate conservative interpolation (remapping) algorithm is an essential component of most arbitrary Lagrangian-Eulerian (ALE) methods. In this paper we describe a local remapping algorithm for a positive scalar function. This algorithm is second-order accurate, conservative, and sign preserving. The algorithm is based on estimating the mass exchanged between cells at their common interface, and so is equally applicable to structured and unstructured grids. We construct the algorithm in a series of steps, clearly delineating the assumptions and errors made at each step. We validate our theory with a suite of numerical examples, analyzing the results from the viewpoint of accuracy and order of convergence.