This review paper describes a class of scheme named “residual distribution schemes” or
“fluctuation splitting schemes”. They are a generalization of Roe's numerical flux in …

We consider the numerical approximation of the Shallow Water Equations (SWEs) in
spherical geometry for oceanographic applications. To provide enhanced resolution of …

An adaptive moving mesh method for optimal control problems in viscous incompressible
fluid is proposed with the incompressible Navier–Stokes system used to describe the motion …

In this article, a novel moving finite elements method has been presented and applied to
solve two typical fluid dynamic equations. Different from the existing methods, the moving …

This talk will assess the potential for a moving mesh algorithm to enhance the efficiency of
spacetime schemes for approximating systems of time-dependent hyperbolic conservation …