Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)
This work presents an extension of a second order cell-centered hydrodynamics scheme on
unstructured polyhedral cells [13] toward higher order. The goal is to reduce dissipation …
unstructured polyhedral cells [13] toward higher order. The goal is to reduce dissipation …
Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case
One of the main issues in the field of numerical schemes is to ally robustness with accuracy.
Considering gas dynamics, numerical approximations may generate negative density or …
Considering gas dynamics, numerical approximations may generate negative density or …
Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids
An alternative cell-vertex entropy-stable finite volume method for the system of Euler
equations is presented. It is derived from the residual distribution method, using the signals …
equations is presented. It is derived from the residual distribution method, using the signals …
A 3D finite element ALE method using an approximate Riemann solution
VP Chiravalle, NR Morgan - International Journal for Numerical …, 2017 - Wiley Online Library
Summary Arbitrary Lagrangian–Eulerian finite volume methods that solve a
multidimensional Riemann‐like problem at the cell center in a staggered grid hydrodynamic …
multidimensional Riemann‐like problem at the cell center in a staggered grid hydrodynamic …
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme
From the very origins of numerical hydrodynamics in the Lagrangian work of von Neumann
and Richtmyer [83], the issue of total energy conservation as well as entropy production has …
and Richtmyer [83], the issue of total energy conservation as well as entropy production has …
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods
The Lagrangian finite volume (FV) cell-centered hydrodynamic (CCH) method and the
Lagrangian discontinuous Galerkin (DG) CCH method have been demonstrated to be quite …
Lagrangian discontinuous Galerkin (DG) CCH method have been demonstrated to be quite …
[HTML][HTML] An interpolation-free ALE scheme for unsteady inviscid flows computations with large boundary displacements over three-dimensional adaptive grids
B Re, C Dobrzynski, A Guardone - Journal of Computational Physics, 2017 - Elsevier
A novel strategy to solve the finite volume discretization of the unsteady Euler equations
within the Arbitrary Lagrangian–Eulerian framework over tetrahedral adaptive grids is …
within the Arbitrary Lagrangian–Eulerian framework over tetrahedral adaptive grids is …
3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement
The level set method is commonly used to model dynamically evolving fronts and interfaces.
In this work, we present new methods for evolving fronts with a specified velocity field or in …
In this work, we present new methods for evolving fronts with a specified velocity field or in …
Staggered and colocated finite volume schemes for Lagrangian hydrodynamics
R Loubere, PH Maire, B Rebourcet - Handbook of numerical analysis, 2016 - Elsevier
We present the two main types of Finite Volume Lagrangian schemes named: staggered-
grid hydrodynamics (SGH) and colocated Lagrangian hydrodynamics (CLH). Both are …
grid hydrodynamics (SGH) and colocated Lagrangian hydrodynamics (CLH). Both are …
3D Cell-centered hydrodynamics with subscale closure model and multi-material remap
VP Chiravalle, A Barlow, NR Morgan - Computers & Fluids, 2020 - Elsevier
We extend a higher-order finite volume cell-centered hydrodynamic (CCH) formulation to
include an interface-aware subscale closure model and a multi-material remap for …
include an interface-aware subscale closure model and a multi-material remap for …