Urban flooding has become an increasingly frequent and fatal natural hazard and numerical
modeling techniques play a vital role in its prediction and management. We review urban …

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 …

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 …

Abstract A 3D coupled VOF and LS method (VOSET) on general curvilinear grids is
developed for two-phase flow simulations in complex domains. The evolution of volume …

In the present work, an explicit finite element approach to the solution of the Lagrangian
formulation of the Navier-Stokes equations for weakly compressible fluids or fluid-like …

This paper presents a coupled volume-of-fluid and level set (VOSET) method for
unstructured triangular meshes to simulate incompressible two phase flows. In the method, a …

Summary Arbitrary Lagrangian–Eulerian finite volume methods that solve a
multidimensional Riemann‐like problem at the cell center in a staggered grid hydrodynamic …

Element-free Galerkin (EFG) method was formulated to simulate elastic fracture in structural
mechanics and it possesses great advantages by allowing more flexible numerical treatment …

The Lagrangian finite volume (FV) cell-centered hydrodynamic (CCH) method and the
Lagrangian discontinuous Galerkin (DG) CCH method have been demonstrated to be quite …

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 …