An integrated space-time finite-volume method for moving-boundary problems

摘要

A new finite-volume method for moving-mesh problems, called the integrated space-time (IST)finite-volume method is presented. This concept extends the finite-volume principle to both space and time, thereby satisfying the geometric conservation law (GCL) implicitly. Consequently, the method lends itself well to moving-boundary problems. An additional feature of the IST is the unification of the transient and advection terms, so that the same second-order discretization can he used for both. The IST framework is implemented using a cell-centered method, which includes a new linearly-exact discretization for diffusion terms that is equally applicable to isotropic and anisotropic continua and collapses to classical computational molecules on orthogonal meshes. [References: 20]