Boundary Conditions for Euler Equations at Internal Block Faces of Multi-Block Domains Using Local Grid Refinement.

摘要

The report discusses the development of a method for the numerical treatment of boundary conditions for Euler equations at internal block faces of arbitrary complex 3D patched multi-block domains. The method should allow cell-length and skewness discontinuities of the grid normal to the internal faces, and local grid refinement in each block individually. The method will be developed for multi-block flow solvers based on an explicit cell-centered finite-volume scheme with adaptive numerical dissipation. The discontinuities of the grid at internal block faces are treated by a boundary condition using the gradient vector of each flow variable to determine the flow state at the internal face. By implementing the described method in a 3D multi-block solver, a powerful aerodynamic analysis tool for solving the Euler equations in an arbitrary flow domain has been obtained. The ability of the flow solver to handle grid discontinuities over internal faces allows much freedom in the grid generation process. Finally, the use of local grid refinement per block offers the desired flow simulation accuracy with grids of reasonable size.