Since the variational mesh adaptation is the base for a number of adaptive moving mesh and mesh smoothing methods, the result in this work can be used to develop simple implementations of those methods.
A key feature of the solver is the unification of a mesh adaptation apparatus, based on moving mesh partial differential equations (PDEs), with the rigorous formulation of the governing anelastic PDEs in generalised time-dependent curvilinear coordinates.
A self-adaptive moving mesh method is also described.
This means that the mesh interval δ k is a conserved density of the self-adaptive moving mesh scheme.
In this work, we will further extend the moving mesh methods based on harmonic maps to deal with mesh adaptation in three space dimensions.
Moving mesh partial differential equations (MMPDEs) are used in the MMPDE moving mesh method to generate adaptive moving meshes for the numerical solution of time dependent problems.
This feature allows the usage of a moving mesh easily.
This study utilizes the moving mesh algorithm where a redefined computational mesh is applied in the convective phase.
First, we apply a classical moving mesh method.
A moving mesh source term is derived from the geometric conservation law and physical conservation laws on arbitrarily moving meshes.
