JOURNAL OF COMPUTATIONAL PHYSICS 123, 45–64 (1996) ARTICLE NO. 0004 Stable Conservative Multidomain Treatments for Implicit Euler Solvers

Previous studies of interface conditions satisfying one or more of the above criteria for various applications have concen-Multidomain treatments are studied in order to solve the steady compressible Euler equations using implicit time-dependent finite trated mainly on explicit difference schemes. Ciment [8, 9] volume methods on block-structured grids. Unconditionally GKS- studied the matching of dissipative schemes with or without stable and conservative treatments are proposed for continuous mesh refinement. Browning, Kreiss, and Oliger [6] analyzed a and discontinuous 1D matchings and extended to 2D patched grids. mesh refinement technique with the non-dissipative leap-frogEfficiency of the present interface conditions is demonstrated scheme. Starius [43] considered composite-mesh methods forthrough transonic flow calculations over single- and two-element airfoils. Q 1996 Academic Press, Inc. accurately treating curvilinear boundaries. Oliger [34] exam-ined a hybrid difference method in order to treat the boundary condition for a high-order difference scheme in a stable way. and time [4] and proposed a procedure to derive conservative difference approximations at grid interfaces for one- or two-In computational fluid dynamics, the domain decompositio