Unstructured mesh procedures for the simulation of three‐dimensional transient compressible inviscid flows with moving boundary components

SUMMARY The solution of high-speed transient inviscid compressible flow problems in three dimensions is considered. Discretization of the spatial domain is accomplished by the use of tetrahedral elements generated by Delaunay triangulation with automatic point creation. Methods of adapting the mesh to allow for boundary movement are considered and a strategy for ensuring boundary recovery is proposed. An explicit multistage time-stepping algorithm is employed to advance the flow solution. A number of examples are included to illustrate the numerical performance of the proposed procedures. # 1998 John Wiley & Sons, Ltd. Int. J. Numer. Meth. Fluids, 27: 41‐55 (1998)

[1]  N. Weatherill Delaunay triangulation in computational fluid dynamics , 1992 .

[2]  Dimitri J. Mavriplis,et al.  Three-dimensional multigrid Reynolds-averaged Navier-Stokes solver for unstructured meshes , 1995 .

[3]  Rainald Loehner,et al.  Numerical simulation of a blast inside a Boeing 747 , 1993 .

[4]  N. Weatherill,et al.  Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints , 1994 .

[5]  Joaquim Peiró,et al.  Finite element multigrid solution of Euler flows past installed aero-engines , 1993 .

[6]  Dimitri J. Mavriplis,et al.  A THREE DIMENSIONAL MULTIGRID REYNOLDS-AVERAGED NAVIER-STOKES SOLVER FOR UNSTRUCTURED MESHES , 1994 .

[7]  J. Bonet,et al.  An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems , 1991 .

[8]  J. Peraire,et al.  Mesh generation and adaptivity for the solution of compressible viscous high speed flows , 1995 .

[9]  Nigel P. Weatherill,et al.  Calculation of steady compressible flowfields with the finite element method , 1993 .

[10]  Jaime Peraire,et al.  An adaptive finite element method for transient compressible flows , 1991 .

[11]  Rainald Loehner,et al.  A new ALE adaptive unstructured methodology for the simulation of moving bodies , 1994 .

[12]  Jaime Peraire,et al.  An adaptive finite element method for transient compressible flows with moving boundaries , 1991 .

[13]  J. Peiro,et al.  Unstructured finite element mesh generation and adaptive procedures for CFD , 1990 .