AN INTEGRATED SPACE-TIME FINITE-VOLUME METHOD FOR MOVING-BOUNDARY PROBLEMS

REFERENCES

• I. Demirdžic and M. Perić , Finite Volume Method for Prediction of Fluid Flow in Arbitrarily Shaped Domains with Moving Boundaries , Int. J. Numer, Meth. Fluids , vol. 10 , pp. 771 – 790 , 1990 .
   Web of Science ®Google Scholar
• M. Reggio , J. Y. Trépanier , H. Zhang , and R. Camarero , Numerical Simulation of the Gas Flow in a Circuit-Breaker , Int. J. Numer. Method. Eng. , vol. 34 , pp. 607 – 618 , 1992 .
   Web of Science ®Google Scholar
• J. Farmer , L. Martinelli , and A. Jameson , Fast Multigrid Method for Solving Incompressible Hydrodynamic Problems with Free Surfaces , AIAA J. , vol. 32 , pp. 1175 – 1182 , 1994 .
   Google Scholar
• J. H. Ferziger and M. Perić , Computational Methods for Fluid Dynamics , pp. 217 – 222 . Springer-Verlag , Berlin , 1996 .
   Google Scholar
• G. D. Raithby , W.-X. Xu , and G. D. Stubley , Prediction of Incompressible Free Surface Flows with an Element-Based Finite Volume Method , Comput. Fluid Dynam. J. , vol. 4 , pp. 353 – 371 , 1995 .
   Google Scholar
• A. Ilinca , R. Camarero , J. Y. Trépanier , and M. Reggio , Error Estimator and Adaptive Moving Grids for Finite Volumes Schemes , AIAA J. , vol. 33 , pp. 2058 – 2065 , 1995 .
   Google Scholar
• C. W. Hirt , A. A. Amsden , and J. L. Cook , An Arbitrary Lagrangian-Eulerian Computing Method for all Flow Speeds , J. Comput. Phys. , vol. 14 , pp. 227 – 253 , 1974 .
   Web of Science ®Google Scholar
• T. E. Tezduyar , M. Behr , and J. Liou , A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces—The Deforming-Spatial-Domain/Space-Time Procedure I. The Concept and the Preliminary Numerical Tests , Comput. Meth. Appl. Mech. Eng. , vol. 94 , pp. 339 – 351 , 1994 .
   Google Scholar
• T. E. Tezduyar , M. Behr , and J. Liou , A New Strategy for Finite Element Computations Involving Moving Boundaries and Interfaces—The Deforming-Spatial-Domain/Space-Time Procedure II. Computation of Free-Surface Flows, Two-Liquid Flows, and Flows with Drifting Cylinders , Comput. Meih. Appl. Mech. Eng. , vol. 94 , pp. 353 – 371 , 1992 .
   Web of Science ®Google Scholar
• P. Hansbo , The Characteristic Streamline Diffusion Method for the Time-Dependent Navier-Stokes Equations , Comput. Meth. Appl. Mech. Eng. , vol. 99 , pp. 171 – 186 , 1992 .
   Web of Science ®Google Scholar
• S. F. Kistler and L. E. Scriven , Coating Flow Theory by Finite Element and Asymptotic Analysis of the Navier-Stokes System , Int. J. Numer. Meth. Fluids , vol. 4 , pp. 207 – 229 , 1984 .
   Web of Science ®Google Scholar
• I. Demirdžić and M. Perić , Space Conservation Law in Finite Volume Calculations of Fluid Flow , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 1037 – 1050 , 1988 .
   Web of Science ®Google Scholar
• H. Zhang , M. Reggio , J. Y. Trépanier , and R. Camarero , Discrete Form of the GCL for Moving Meshes and Its Implementation in CFD Schemes , Comput. Fluids , vol. 22 , pp. 9 – 23 , 1993 .
   Web of Science ®Google Scholar
• A. M. Froncioni , A. Garon , and R. Camarero , h-Adaptive Strategies for Space-Time Finite Elements, in Proc. 3rd Annual Conf. of the CFD Society of Canada, pp. 47 – 54 , 1995 .
   Google Scholar
• S. C. Chang , The Method of Space-Time Conservation Element and Solution Element —A New Approach for Solving the Navier-Stokes and Euler Equations , J. Comput. Phys. , vol. 119 , pp. 295 – 324 , 1995 .
   Web of Science ®Google Scholar
• S. R. Mathur and J. Y. Murthy , A Pressure-Based Method for Unstructured Meshes , Numer. Heat Transfer B , vol. 31 , pp. 195 – 215 , 1997 .
   Web of Science ®Google Scholar
• T. J. Barth , A 3-D Upwind Euler Solver for Unstructured Meshes , AIAA Paper 91-1548 , 1991 .
   Google Scholar
• T. J. Barth and D. C. Jesperson , The Design and Application of Upwind Schemes on Unstructured Meshes , AIAA Paper 89–0366 , 1989 .
   Google Scholar
• V. Venkatakrishnan , Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters , J. Comput. Phys. , Vol. 118 , pp. 120 – 130 , 1995 .
   Web of Science ®Google Scholar
• C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Fast an Airfoid with Trailing Edge Separation , AIAA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
   Google Scholar