We propose a second-order accurate semi-implicit and well-balanced finite volume scheme
for the equations of ideal magnetohydrodynamics including gravitational source terms. The …

In this article we design a finite volume semi-implicit IMEX scheme for the incompressible
Navier-Stokes equations on evolving Chimera meshes. We employ a time discretization …

We present a novel high order semi-implicit hybrid finite volume/virtual element numerical
scheme for the solution of compressible flows on Voronoi tessellations. The method relies …

This paper presents a new preprocessing algorithm to generate accurate initial conditions
for particle-method-based CFD simulations with complex geometries. The algorithm is …

We present a novel semi-implicit hybrid finite volume/finite element (FV/FE) method for the
equations of viscous and resistive incompressible magnetohydrodynamics (MHD). The …

We present a new hybrid semi-implicit finite volume/finite element numerical scheme for the
solution of incompressible and weakly compressible media. From the continuum mechanics …

We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear
conservation laws on unstructured Voronoi meshes that use a local Virtual Element basis …

We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear
conservation laws on unstructured Voronoi meshes that use a nonconforming Virtual …

We propose a scalable well-balanced numerical method to efficiently solve a modified set of
shallow water equations targeting the dynamics of lava flows. The governing equations are …