Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781729052211
Category : Science
Languages : en
Pages : 36
Book Description
We present a new approach towards the construction of a genuinely multidimensional high-resolution scheme for computing steady-state solutions of the Euler equations of gas dynamics. The unique advantage of this approach is that the Gauss-Seidel relaxation is stable when applied directly to the high-resolution discrete equations, thus allowing us to construct a very efficient and simple multigrid steady-state solver. This is the only high-resolution scheme known to us that has this property. The two-dimensional scheme is presented in detail. It is formulated on triangular (structured and unstructured) meshes and can be interpreted as a genuinely two-dimensional extension of the Roe scheme. The quality of the solutions obtained using this scheme and the performance of the multigrid algorithm are illustrated by the numerical experiments. Construction of the three dimensional scheme is outlined briefly as well. Sidilkover, David Unspecified Center NAS1-19480...
A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations
Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781729052211
Category : Science
Languages : en
Pages : 36
Book Description
We present a new approach towards the construction of a genuinely multidimensional high-resolution scheme for computing steady-state solutions of the Euler equations of gas dynamics. The unique advantage of this approach is that the Gauss-Seidel relaxation is stable when applied directly to the high-resolution discrete equations, thus allowing us to construct a very efficient and simple multigrid steady-state solver. This is the only high-resolution scheme known to us that has this property. The two-dimensional scheme is presented in detail. It is formulated on triangular (structured and unstructured) meshes and can be interpreted as a genuinely two-dimensional extension of the Roe scheme. The quality of the solutions obtained using this scheme and the performance of the multigrid algorithm are illustrated by the numerical experiments. Construction of the three dimensional scheme is outlined briefly as well. Sidilkover, David Unspecified Center NAS1-19480...
Publisher: Independently Published
ISBN: 9781729052211
Category : Science
Languages : en
Pages : 36
Book Description
We present a new approach towards the construction of a genuinely multidimensional high-resolution scheme for computing steady-state solutions of the Euler equations of gas dynamics. The unique advantage of this approach is that the Gauss-Seidel relaxation is stable when applied directly to the high-resolution discrete equations, thus allowing us to construct a very efficient and simple multigrid steady-state solver. This is the only high-resolution scheme known to us that has this property. The two-dimensional scheme is presented in detail. It is formulated on triangular (structured and unstructured) meshes and can be interpreted as a genuinely two-dimensional extension of the Roe scheme. The quality of the solutions obtained using this scheme and the performance of the multigrid algorithm are illustrated by the numerical experiments. Construction of the three dimensional scheme is outlined briefly as well. Sidilkover, David Unspecified Center NAS1-19480...
A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations
Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category : Euler's numbers
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category : Euler's numbers
Languages : en
Pages : 44
Book Description
A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Sovler for the Compressible Euler Equations
Author: David Sidilkover
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Some important advances took place during the last several years in the development of genuinely multidimensional upwind schemes for the compressible Euler equations. In particular, a robust, high-resolution genuinely multidimensional scheme which can be used for any of the flow regimes computations was constructed. This paper summarizes briefly these developments and outlines the fundamental advantages of this approach.
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Some important advances took place during the last several years in the development of genuinely multidimensional upwind schemes for the compressible Euler equations. In particular, a robust, high-resolution genuinely multidimensional scheme which can be used for any of the flow regimes computations was constructed. This paper summarizes briefly these developments and outlines the fundamental advantages of this approach.
Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations
Author: D. Sidilkover
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
Book Description
Upwind and High-Resolution Schemes
Author: M.Yousuff Hussaini
Publisher: Springer Science & Business Media
ISBN: 3642605435
Category : Science
Languages : en
Pages : 587
Book Description
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
Publisher: Springer Science & Business Media
ISBN: 3642605435
Category : Science
Languages : en
Pages : 587
Book Description
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
Multigrid Methods
Author: Ulrich Trottenberg
Publisher: Academic Press
ISBN: 9780127010700
Category : Mathematics
Languages : en
Pages : 652
Book Description
Mathematics of Computing -- Numerical Analysis.
Publisher: Academic Press
ISBN: 9780127010700
Category : Mathematics
Languages : en
Pages : 652
Book Description
Mathematics of Computing -- Numerical Analysis.
A Genuinely Multi-dimensional Upwinding Algorithm for the Navier-Stokes Equations on Unstructured Grids Using a Compact, Highly-parallelizable Spatial Discretization
Author: George Timothy Tomaich
Publisher:
ISBN:
Category :
Languages : en
Pages : 400
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 400
Book Description
Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration
Author: Herman Deconinck
Publisher: Friedr Vieweg & Sohn Verlagsgesellschaft
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 596
Book Description
Publisher: Friedr Vieweg & Sohn Verlagsgesellschaft
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 596
Book Description
Comments on the Diffusive Behavior of Two Upwind Schemes
Author: William A. Wood
Publisher:
ISBN:
Category : Computational fluid dynamics
Languages : en
Pages : 56
Book Description
Publisher:
ISBN:
Category : Computational fluid dynamics
Languages : en
Pages : 56
Book Description