A unified approach for adaptive solutions of compressible and incompressible flows

[1]  O. Zienkiewicz,et al.  Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method , 1989 .

[2]  An adaptive finite element method for a two-equation turbulence model in wall bounded flows , 1994 .

[3]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of , 1986 .

[4]  T. Hughes,et al.  The Galerkin/least-squares method for advective-diffusive equations , 1988 .

[5]  Dominique Pelletier,et al.  Adaptive Remeshing for the k-Epsilon Model of Turbulence , 1997 .

[6]  L. Franca,et al.  Stabilized finite element methods. II: The incompressible Navier-Stokes equations , 1992 .

[7]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: II. Beyond SUPG , 1986 .

[8]  I. Babuska,et al.  A‐posteriori error estimates for the finite element method , 1978 .

[9]  D. Pelletier,et al.  Adaptive finite element method for turbulent flow near a propeller , 1994 .

[10]  O. Zienkiewicz,et al.  The hierarchical concept in finite element analysis , 1983 .

[11]  Ramon Codina,et al.  A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation , 1993 .

[12]  O. C. Zienkiewicz,et al.  Adaptive grid refinement for the Euler and compressible Navier-Stokes equations , 1984 .

[13]  O. C. Zienkiewicz,et al.  Error estimation and adaptivity in Navier-Stokes incompressible flows , 1990 .

[14]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity , 1992 .

[15]  M. Hafez,et al.  A unified approach for numerical simulation of viscous compressible and incompressible flows over adiabatic and isothermal walls , 1992 .

[16]  Dominique Pelletier,et al.  Adaptive remeshing for convective heat transfer with variable fluid properties , 1994 .

[17]  O. C. Zienkiewicz,et al.  Adaptive remeshing for compressible flow computations , 1987 .

[18]  Leszek Demkowicz,et al.  A posteriori error analysis in finite elements: the element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations , 1990 .

[19]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[20]  O. C. Zienkiewicz,et al.  A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .

[21]  Dominique Pelletier,et al.  Adaptive finite element method for thermal flow problems , 1994 .

[22]  D. Pelletier,et al.  A pressure based adaptive finite element algorithm for compressible viscous flows , 1996 .

[23]  Dominique Pelletier,et al.  Adaptative remeshing for viscous incompressible flows , 1992 .

[24]  Tayfun E. Tezduyar,et al.  Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations , 1986 .