Stable conservative multidomain treatments for implicit Euler solvers. (English) Zbl 0839.76065

Lerat, A.; Wu, Z. N.

J. Comput. Phys. 123, No. 1, 45-64 (1996).

Summary: Multidomain treatments are studied in order to solve the steady compressible Euler equations using implicit time-dependent finite volume methods on block-structured grids. Unconditionally GKS-stable and conservative treatments are proposed for continuous and discontinuous one-dimensional matchings and extended to two-dimensional patched grids. Efficiency of the present interface conditions is demonstrated through transonic flow calculations over single- and two-element airfoils.

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

Keywords:

implicit time-dependent finite volume methods; block-structured grids; transonic flow; airfoils