An Iterative Finite-Volume Method on an Unstructured Moving Grid (3rd Report, Unstructured Adaptive Mesh Refinement Method for Unsteady Problems)

On Efficiency of an Unstructured Grid Generation Method for Aerospace Applications

Automatic Mesh Motion for the Unstructured Finite Volume Method

Moving-mesh unstructured Finite Volume Method (FVM) is a good candidate for tackling flow simulations where the shape of the domain changes during the simulation or represents a part of the solution. For efficient and user-friendly approach to the problem, it is necessary to automatically determine the point positions in the mesh, based on the prescribed boundary motion. In this paper, we prese...

An unstructured-mesh finite-volume MPDATA for compressible atmospheric dynamics

An advancement of the unstructured-mesh finite-volume MPDATA (Multidimensional Positive Definite Advection Transport Algorithm) is presented that formulates the error-compensative pseudo-velocity of the scheme to rely only on face-normal advective fluxes to the dual cells, in contrast to the full vector employed in previous implementations. This is essentially achieved by expressing the tempora...

Adaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid

Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, ac...

Adaptive unstructured volume remeshing – I: The method

We present an adaptive remeshing algorithm for meshes of unstructured triangles in two dimensions and unstructured tetrahedra in three dimensions. The algorithm automatically adjusts the size of the elements with time and position in the computational domain in order to resolve the relevant scales in multiscale physical systems to a userprescribed accuracy while minimizing computational cost. T...