Second-Order Time-Accurate ALE Schemes for Flow Computations with Moving and Topologically Changing Grids

Stability analysis of second-order time accurate schemes for ALE–FEM

In this work we will introduce and analyze the Arbitrary Lagrangian Eulerian formulation for a model problem of a scalar advection–diffusion equation defined on a moving domain. Moving from the results illustrated in our previous work [J. Num. Math. 7 (1999) 105], we will consider first and second-order time advancing schemes and analyze how the movement of the domain might affect accuracy and ...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

Flow Computations with Accurate Space Derivative Methods

High-order accurate FDTD schemes for dispersive Maxwell's equations in second-order form using recursive convolutions

We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell’s equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the dispersive Maxwell’s equations written as a second-order vector wave equation with a time-history convolution term. The modified equation approach is combined with t...

A Second Order Accurate Method in Simulation of Underwater Explosion

In this paper, a numerical scheme is proposed for the multi-fluid compressible flows. This method is applied to the problem of underwater explosion. The proposed scheme is basically the extension of Godunov method in gas dynamic problems to the multifluid environments and is second-order accurate in space. In this method, also, the problem of artificial mixing of two different phases on Euleria...