Solution Adaptation

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P. Mallapragada - One of the best experts on this subject based on the ideXlab platform.

  • Parallelized, Solution Adaptive, Multi-Grid Hybrid Unstructured Methods for the Navier-Stokes Equations on Complex Configurations
    Computational Fluid Dynamics 2002, 2003
    Co-Authors: S. J. Zhang, J. Liu, Y. S. Chen, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents parallelized, Solution adaptive, multi-grid hybrid unstructured methods to the turbulent flows past complex configurations. The numerical techniques are accomplished by parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, hanging node Solution Adaptation, algebraic multi-grid speeding-up convergence method. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multi-pressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the proposed methods can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence and accurate Solutions have been demonstrated even for complex 3D configurations under high Reynolds number turbulent flow conditions.

  • A PARALLELIZED, ADAPTIVE, MULTI-GRID HYBRID UNSTRUCTURED SOLVER FOR ALL-SPEED FLOWS
    40th AIAA Aerospace Sciences Meeting & Exhibit, 2002
    Co-Authors: S. J. Zhang, J. Liu, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents a parallelized, Solution adaptive, multi-grid hybrid unstructured finite volume solver (UNIC-UNS) for allspeed flows. The methods and techniques applicable for all speeds were implemented in the general-purpose CFD computer code. The hanging node Solution Adaptation, parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, algebraic multi-grid speeding-up convergence method were all facilitated in the solver. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multipressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the solver can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence characteristics have been demonstrated even for highly local enriched grids and high Reynolds number turbulent flow conditions.

S. J. Zhang - One of the best experts on this subject based on the ideXlab platform.

  • Parallelized, Solution Adaptive, Multi-Grid Hybrid Unstructured Methods for the Navier-Stokes Equations on Complex Configurations
    Computational Fluid Dynamics 2002, 2003
    Co-Authors: S. J. Zhang, J. Liu, Y. S. Chen, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents parallelized, Solution adaptive, multi-grid hybrid unstructured methods to the turbulent flows past complex configurations. The numerical techniques are accomplished by parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, hanging node Solution Adaptation, algebraic multi-grid speeding-up convergence method. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multi-pressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the proposed methods can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence and accurate Solutions have been demonstrated even for complex 3D configurations under high Reynolds number turbulent flow conditions.

  • A PARALLELIZED, ADAPTIVE, MULTI-GRID HYBRID UNSTRUCTURED SOLVER FOR ALL-SPEED FLOWS
    40th AIAA Aerospace Sciences Meeting & Exhibit, 2002
    Co-Authors: S. J. Zhang, J. Liu, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents a parallelized, Solution adaptive, multi-grid hybrid unstructured finite volume solver (UNIC-UNS) for allspeed flows. The methods and techniques applicable for all speeds were implemented in the general-purpose CFD computer code. The hanging node Solution Adaptation, parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, algebraic multi-grid speeding-up convergence method were all facilitated in the solver. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multipressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the solver can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence characteristics have been demonstrated even for highly local enriched grids and high Reynolds number turbulent flow conditions.

J. Liu - One of the best experts on this subject based on the ideXlab platform.

  • Parallelized, Solution Adaptive, Multi-Grid Hybrid Unstructured Methods for the Navier-Stokes Equations on Complex Configurations
    Computational Fluid Dynamics 2002, 2003
    Co-Authors: S. J. Zhang, J. Liu, Y. S. Chen, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents parallelized, Solution adaptive, multi-grid hybrid unstructured methods to the turbulent flows past complex configurations. The numerical techniques are accomplished by parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, hanging node Solution Adaptation, algebraic multi-grid speeding-up convergence method. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multi-pressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the proposed methods can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence and accurate Solutions have been demonstrated even for complex 3D configurations under high Reynolds number turbulent flow conditions.

  • A PARALLELIZED, ADAPTIVE, MULTI-GRID HYBRID UNSTRUCTURED SOLVER FOR ALL-SPEED FLOWS
    40th AIAA Aerospace Sciences Meeting & Exhibit, 2002
    Co-Authors: S. J. Zhang, J. Liu, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents a parallelized, Solution adaptive, multi-grid hybrid unstructured finite volume solver (UNIC-UNS) for allspeed flows. The methods and techniques applicable for all speeds were implemented in the general-purpose CFD computer code. The hanging node Solution Adaptation, parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, algebraic multi-grid speeding-up convergence method were all facilitated in the solver. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multipressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the solver can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence characteristics have been demonstrated even for highly local enriched grids and high Reynolds number turbulent flow conditions.

D. Godavarty - One of the best experts on this subject based on the ideXlab platform.

  • Parallelized, Solution Adaptive, Multi-Grid Hybrid Unstructured Methods for the Navier-Stokes Equations on Complex Configurations
    Computational Fluid Dynamics 2002, 2003
    Co-Authors: S. J. Zhang, J. Liu, Y. S. Chen, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents parallelized, Solution adaptive, multi-grid hybrid unstructured methods to the turbulent flows past complex configurations. The numerical techniques are accomplished by parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, hanging node Solution Adaptation, algebraic multi-grid speeding-up convergence method. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multi-pressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the proposed methods can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence and accurate Solutions have been demonstrated even for complex 3D configurations under high Reynolds number turbulent flow conditions.

  • A PARALLELIZED, ADAPTIVE, MULTI-GRID HYBRID UNSTRUCTURED SOLVER FOR ALL-SPEED FLOWS
    40th AIAA Aerospace Sciences Meeting & Exhibit, 2002
    Co-Authors: S. J. Zhang, J. Liu, D. Godavarty, P. Mallapragada
    Abstract:

    This paper presents a parallelized, Solution adaptive, multi-grid hybrid unstructured finite volume solver (UNIC-UNS) for allspeed flows. The methods and techniques applicable for all speeds were implemented in the general-purpose CFD computer code. The hanging node Solution Adaptation, parallel computing algorithm with multi options of serial, PVM or MPI to accommodate any type of machines, algebraic multi-grid speeding-up convergence method were all facilitated in the solver. With the enhancement of higher order scheme data reconstruction, higher order upwind-biased differencing, multipressure-correction, and Bi-CGSTAB and GMRES matrix solvers, the solver can efficiently and accurately handle flow problems in several cases including benchmark and practical. Very good convergence characteristics have been demonstrated even for highly local enriched grids and high Reynolds number turbulent flow conditions.

Joseph M. Derlaga - One of the best experts on this subject based on the ideXlab platform.

  • adjoint and truncation error based Adaptation for finite volume schemes with error estimates
    53rd AIAA Aerospace Sciences Meeting, 2015
    Co-Authors: Joseph M. Derlaga, Christopher J. Roy, Tyrone S. Phillips, Jeff Borggaard
    Abstract:

    In addition to design, control, and optimization applications, adjoint methods can be used to provide discretization error estimation and Solution Adaptation for Solution functionals. In this paper, Adaptation based on estimates of truncation error is coupled with adjoint-based error estimation to provide improved estimates of discretization error in Solution functionals. Comparisons between different types of Adaptation indicators and error estimation techniques are made for the two-dimensional Euler equations.

  • Adjoint and Truncation Error Based Adaptation for 1D Finite Volume Schemes
    21st AIAA Computational Fluid Dynamics Conference, 2013
    Co-Authors: Joseph M. Derlaga, Christopher J. Roy
    Abstract:

    In addition to design, control, and optimization applications, adjoint methods can be used to provide discretization error estimation and Solution Adaptation for Solution functionals. This paper seeks to demonstrate the link between adjoint based error estimation, truncation errors, residuals, and discretization errors. The generalized truncation error expression is extended from finite difference schemes to finite volume schemes and is used to provide truncation error estimates for both 1D Burgers’ equation and the quasi-1D form of the Euler equations. Comparisons between different types of Adaptation indicators and error estimation techniques are made.

  • Numerical Benchmark Solutions for Laminar and Turbulent Flows
    42nd AIAA Fluid Dynamics Conference and Exhibit, 2012
    Co-Authors: Tyrone S. Phillips, Joseph M. Derlaga, Christopher J. Roy
    Abstract:

    Numerical benchmark Solutions are numerical Solutions that have been computed using a verified code and with a high degree of rigorously assessed numerical accuracy. They can bridge the gap between simple problems where the analytic Solution to the differential equations is known and more complex problems where exact Solutions are not known. In particular, benchmark numerical Solutions can be used for code verification (i.e., algorithm and code correctness), assessing discretization error estimators, and evaluating Solution Adaptation strategies. The requirements for establishing a numerical benchmark Solution are discussed. A numerical benchmark is created for a turbulent flat plate using the Spalart-Allmaras Reynolds-Averaged Navier-Stokes (RANS) turbulence model. Three computational fluid dynamics codes are employed to provide additional confidence in the final benchmark Solution: Loci-CHEM, FUN3D, and CFL3D. A numerical benchmark is also created for a supersonic manufactured Solution and Ringleb’s flow, both with known exact Solutions, to ensure that the recommended guidelines for generating a numerical benchmark Solution are sufficient.