GENESIS-A Mesh-free, Knowledge-based, Nonlinear Boundary Integral Methodology for Compressible, Viscous Flows over Arbitrary Bodies: Theoretical Framework and Basic Physical Principles

Summary

Following a discussion of why design engineers need a knowledge-based CFD methodology to complement their existing differential toolkit, the paper proceeds from a universal mathematical identity to develop a generic boundary integral formulation for incompressible, irrotational flow fields. A new formulation known as SAVER is introduced, which determines optimal source and vorticity distributions on the body boundary by a novel relaxation approach. This is then generalized through a modification of the boundary conditions to a methodology known as GENESIS, for analysis or design in compressible, rotational flow. A discussion is presented of how the basic nature of integral methods allows a causal explanation of some important flow phenomena, such as shocks and separations, and facilitates aerodynamic sensitivity analysis. This causality makes integral formulations an ideal basis for the development of a knowledge-based CFD methodology, allowing the designer access to affordable simulations of realistic flows over aeronautical shapes.