Positivity-preserving Lagrangian scheme for multi-material compressible flow Juan Cheng

Keywords: positivity-preserving high-order methods, cell-centered Lagrangian schemes, updated and total Lagrangian formulations, Godunov-type method, multi-material compressible

In [43], we have presented a general high-order cell-centered discretization of the two-dimensional Lagrangian gas dynamics equations, based a discontinuous Galerkin (DG) scheme

In this paper, we construct arbitrarily high order accurate DG schemes which preserve positivity of the radiative intensity in the simulation of both steady and unsteady

In this paper, we develop a second order cell-centered Lagrangian scheme for solving compressible Euler equations in cylindrical coordinates, based on the control

The method detects critical numerical fluxes which may lead to negative density and pressure, and then imposes a simple flux limiter combining the high-order numerical flux with

Keywords: positivity preserving; high order accuracy; compressible Euler equations; gas dynamics; finite difference scheme; essentially non-oscillatory scheme; weighted

In this paper, we first introduce an interesting quadrature rule for two variable polynomi- als on a triangle, by which we can obtain a sufficient condition for a finite volume or a

The paper is organized as follows: we review the weak positivity property of high order finite volume schemes solving compressible Euler equations in one dimension then introduce