High-Order Numerical Algorithms for Steady and Unsteady Simulation of Viscous Compressible Flow with Shocks.

摘要

The objective of the proposed research was to develop and implement high-order numerical algorithms for the simulation of steady and unsteady compressible viscous flows with shocks. Notable achievements have been made in three areas, namely algorithm analysis and development, code development, and code utilization (to investigate various flow problems). With regards to code development, two-dimensional and three-dimensional compressible viscous flow solvers based on the spectral difference method have been written. The solvers can run on meshes containing straight-sided and curved-sided quadrilateral and hexahedral elements. With regards to code utilization, viscous compressible flow over various two-dimensional configurations has been investigated. These configurations include pairs of cylinders (both stationary and rotating), plunging and pitching airfoils, and a deforming beam in the wake of a cylinder. In three-dimensions, turbulent channel flow and turbulent flow over an airfoil have been investigated, and preliminary simulations of viscous compressible flow over a flapping wing have been undertaken.