A Lagrangian discontinuous Galerkin hydrodynamic method
We present a new Lagrangian discontinuous Galerkin (DG) hydrodynamic method for
solving the two-dimensional gas dynamic equations on unstructured hybrid meshes. The …
solving the two-dimensional gas dynamic equations on unstructured hybrid meshes. The …
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme
We present a Lagrangian discontinuous Galerkin (DG) hydrodynamic method that is up to
third-order accurate using subcell mesh stabilization (SMS) for compressible flows on …
third-order accurate using subcell mesh stabilization (SMS) for compressible flows on …
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 …
[图书][B] Numerical methods for Eulerian and Lagrangian conservation laws
B Després - 2017 - books.google.com
This book focuses on the interplay between Eulerian and Lagrangian conservation laws for
systems that admit physical motivation and originate from continuum mechanics. Ultimately …
systems that admit physical motivation and originate from continuum mechanics. Ultimately …
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 …
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 …
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 …
A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids
The existing high-order Lagrangian discontinuous Galerkin (DG) hydrodynamic methods are
restricted to using quadratic meshes with quadratic polynomials (P2), which in turn, yield up …
restricted to using quadratic meshes with quadratic polynomials (P2), which in turn, yield up …
A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions
F Qing, X Yu, Z Jia, Z Li - Computational and Applied Mathematics, 2021 - Springer
This article introduces a new variant of the cell-centered Lagrangian discontinuous Galerkin
method for two-dimensional compressible flow which was proposed by Jia et al.(J Comput …
method for two-dimensional compressible flow which was proposed by Jia et al.(J Comput …
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes
We present a three dimensional (3D) arbitrary Lagrangian Eulerian (ALE) hydrodynamic
scheme suitable for modeling complex compressible flows on tetrahedral meshes. The new …
scheme suitable for modeling complex compressible flows on tetrahedral meshes. The new …