Numerical methods for the Navier-Stokes equations : proceedings of the International Workshop held at Heidelberg, October 25-28, 1993
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書誌事項
Numerical methods for the Navier-Stokes equations : proceedings of the International Workshop held at Heidelberg, October 25-28, 1993
（Notes on numerical fluid mechanics, v. 47）
Vieweg, c1994
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内容説明・目次
内容説明
This work contains selected contributions to a workshop on "Numerical Methods for the Navier-Stokes Equations" held at the IBM Scientific Center, Heidelberg during October 25-28, 1993, in collaboration with the SFB "Reactive Flow, Diffusion and transport" of Heidelberg University. The topics treated are advanced computational methods for the compressible and incompressible Navier-Stokes equations in fluid mechanics. This includes non-standard variational formulations, higher-order discretization schemes, efficient solution procedures, and particularly the most acute problems of robustness, adaptivity and parallelization. The main emphasis is put on the conceptional background and the mathematical theory of the various numerical approaches, but some implementation issues are also considered.
目次
Reliable Finite Volume Methods for Navier-Stokes Equations.- Parallel Computing and Multigrid Solution on Adaptive Unstructured Meshes.- Newton-Krylov-Schwarz Methods in CFD.- PASTIS-3D - A Parallel Finite Element Projection Code for the Time-Dependent Incompressible Navier-Stokes Equations.- Coupled Solution of the Steady Compressible Navier-Stokes Equations and the k-?-Turbulence Equations with a Relaxation Method.- Aspects of Finite Element Discretizations for Solving the Boussinesq Approximation of the Navier-Stokes Equations.- Study of Extended Flow Separation on Parallel Machines.- Operator Splitting Method for Compressible Euler and Navier-Stokes Equations.- An Efficient Numerical Algorithm for Velocity Vorticity 3D Unsteady Navier-Stokes Equations: Application to the Study of a Separated Flow Around a Finite Rectangular Plate.- Incompressible Flows Based upon Stabilized Methods.- Adaptive Computation of Compressible Flow Fields with the DLR-?-Code.- Defect Correction for Convection Dominated Flow.- An Operator Splitting Approach for Computing Compressible Flows in Astrophysics.- On Error Control in CFD.- Parallel Grid Adaption.- Numerical Simulation of Turbulent Three-Dimensional Flow Problems on Parallel Computing Systems.- A High-Resolution Flux Splitting Scheme for the Solution of the Compressible Navier-Stokes Equations on Triangular Grids.- The Numerical Approximation of a Free Gas-Vacuum Surface.- A Chimera Grid Scheme for the Calculation of the Flow Around Particles in Difficult Geometries.- A New Multi-Domain Algorithm for the Spectral Solution of the Incompressible Navier-Stokes Equations.- On the Construction of Robust Smoothers for Incompressible Flow Problems.- A Nonconforming Uniformly Convergent Finite Element Method in Two Dimensions.- An Efficient Parallel Solution Technique for the Incompressible Navier-Stokes Equations.- Coupling of Two Dimensional Viscous and Inviscid Incompressible Stokes Equations.- On the Order of Two Nonconforming Finite Element Approximations of Upwind Type for the Navier-Stokes Equations.- An Accurate and Efficient Implicit Upwind Solver for the Navier-Stokes Equations.- An Efficient Finite Element Solver for the Nonstationary Incompressible Navier-Stokes Equations in Two and Three Dimensions.- Numerical Simulation of Unsteady Compressible Viscous Flow Around NACA 0012 Airfoil.- A Posteriori Error Estimates for Non-Linear Problems.- Computing Incompressible Flows in General Domains.
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