551. ALGEBRAIC MESH GENERATION FOR LARGE SCALE VISCOUS-COMPRESSIBLE AERODYNAMIC SIMULATION
- Author
-
Robert E. Smith
- Subjects
Transformation (function) ,Fictitious domain method ,Mesh generation ,Computation ,Coordinate system ,Transfinite interpolation ,Applied mathematics ,Geometry ,Navier–Stokes equations ,ComputingMethodologies_COMPUTERGRAPHICS ,Domain (software engineering) ,Mathematics - Abstract
Publisher Summary This chapter presents computation of viscous compressible flow using boundary-fitted coordinate systems and the application of this computational philosophy on a vector computer. Viscous-compressible aerodynamic simulation is the numerical solution of the compressible Navier-Stokes equations and associated boundary conditions. An algebraic approach to boundary-fitted coordinate systems is one where an explicit functional relation describes a mesh on which a solution is obtained. This approach has the advantage of rapid-precise mesh control. The basic mathematical structure of three algebraic mesh generation techniques is described. They are transfinite interpolation, the multi-surface method, and the two-boundary technique. The Navier-Stokes equations are transformed to a computational coordinate system where boundary-fitted coordinates can be applied. Large-scale computation implies that there is a large number of mesh points in the coordinate system. Now a transformation between the physical domain and the computational domain is a mathematical relationship mapping one domain into the other. Similarly the mesh in one domain is mapped into the mesh in the other domain. When the transformation maps boundaries in the physical domain into boundaries in the computational domain, the term “boundary-fitted coordinate system” is used to describe the transformation.
- Published
- 1984
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