Algebraic grid generation with corner singularitiesA simple noniterative algebraic procedure is presented for generating smooth computational meshes on a quadrilateral topology. Coordinate distribution and normal derivative are provided on all boundaries, one of which may include a slope discontinuity. The boundary conditions are sufficient to guarantee continuity of global meshes formed of joined patches generated by the procedure. The method extends to 3-D. The procedure involves a synthesis of prior techniques stretching functions, cubic blending functions, and transfinite interpolation - to which is added the functional form of the corner solution. The procedure introduces the concept of generalized blending, which is implemented as an automatic scaling of the boundary derivatives for effective interpolation. Some implications of the treatment at boundaries for techniques solving elliptic PDE's are discussed in an Appendix.
Document ID
19840028798
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Vinokur, M. (Santa Clara, University Santa Clara, CA, United States)
Lombard, C. K. (PEDA Corp. Palo Alto, CA, United States)