3 edition of **A unified multigrid solver for the Navier-Stokes equations on mixed element meshes** found in the catalog.

A unified multigrid solver for the Navier-Stokes equations on mixed element meshes

- 96 Want to read
- 17 Currently reading

Published
**1995**
by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va
.

Written in English

- Computational fluid dynamics.,
- Grid generation (Mathematics),
- Multigrid methods.,
- Navier-Stokes equation.,
- Unstructured grids (Mathematics)

**Edition Notes**

Statement | D.J. Mavriplis, V. Venkatakrishnan. |

Series | ICASE report -- no. 95-53., NASA contractor report -- 198183., NASA contractor report -- NASA CR-198183. |

Contributions | Venkatakrishnan, V., Institute for Computer Applications in Science and Engineering. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15420635M |

A 3D Agglomeration Multigrid Solver for the Reynolds-Averaged Navier-Stokes Equations on Unstructured Meshes. The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust solution techniques. This paper investigates one of such iterative solvers, the geometric multigrid solver, to find the approximate solution Author: K. Muzhinji, S. Shateyi, S. S. Motsa.

The ADFC code is a computational fluid dynamics (CFD) C++ solver for incompressible viscous flow over 2D and 3D geometries. It uses finite element and the characteristic method on unstructured meshes to solve Navier-Stokes equations. Multigrid on Uniform Grids for Poisson Equations. We consider linear finite element or equivalently 5-point stencil discretization of the Poisson equation on a uniform grid of [0,1]^2 with size h. For simplicity, we assume h = 1/2^L and zero Dirichlet bounary condition.

An experimental program has been conducted to assess performance of a transport multielement airfoil at flight Reynolds numbers. The studies were performed at chord Reynolds numbers as high as 16 million in the NASA Langley Low Turbulence Pressure Tunnel. Sidewall boundary-layer control to enforce flow two dimensionality was provided via an endplate suction system. A new implementation of the Algebraic Multigrid method is presented. It is applied to the coupled, linearized, discrete equations arising from a finite volume discretization of the 3D Navier-Stokes equations. It employs a grid coarsening algorithm based on Cited by:

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Not Available A Unified Multigrid Solver for the Navier-Stokes Equations on Mixed Element MeshesCited by: A uni ed multigrid solution technique is presented for solving the Euler and Reynoldsaveraged Navier-Stokes equations on unstructured meshes using mixed elements consisting of triangles and quadrilaterals in two dimensions, and of hexahedra, pyramids, prisms and tetrahedra in three dimensions.

A unified multigrid solution technique is presented for solving the Euler and Reynolds-averaged Navier-Stokes equations on unstructured meshes using mixed elements consisting of triangles and quadrilaterals in two dimensions, and of hexahedra, pyramids, prisms and tetrahedra in.

A Unified Multigrid Solver for the Navier-Stokes Equations on Mixed Element Meshes International Journal of Computational Fluid Dynamics, Vol. 8, No. 4 Multigrid strategies for viscous flow solvers on anisotropic unstructured meshesCited by: A Unified Multigrid Solver for the Navier-Stokes Equations on Mixed Element Meshes International Journal of Computational Fluid Dynamics, Vol.

8, No. 4 Dynamic unstructured grid methodology with application to aero/propulsive flowfieldsCited by: D.J. Mavriplis, V. Venkatakrishnan, A Unified Multigrid Solver for the Navier¿Stokes Equations on Mixed Element Meshes ().

CPRF16 T.J. Barth, S.W. Linton, An Unstructured Mesh Newton Solver for Compressible Fluid Flow and Its Parallel Implementation ().Cited by: A Unified Multigrid Solver for the Navier–Stokes Equations on Mixed Element Meshes ()Cited by: Relaxation‐based multigrid solvers for the steady incompressible Navier–Stokes equations are examined to determine their computational speed and robustness.

draw conciusions on the strengths and weaknesses of the individual relaxation methods as well as those of the overall multigrid procedure when used as a solver on highly stretched. In this work, a Navier-Stokes solver for unstructured trian-gular meshes is described.

A previously developed unstruc-tured multigrid algorithm10 is employed to accelerate the con-vergence of the solution to steady state. Our objective is to demonstrate that by carefully tailoring the scheme for direc. The Navier‐Stokes equations are solved for the mixed finite element formulation.

The linear equation solvers used are the orthomin and the Bi‐CGSTAB algorithms. The storage structure of the equation matrix is given special attention in order to avoid swapping and thereby increase the speed of the preconditioner.

method for DG discretizations of the steady Navier-Stokes equations. The use of multigrid to solve DG discretizations of compressible ﬂows was ﬁrst presented by Fidkowski [17] and Fidkowski et al.

[19]. Fidkowski et al. used a p-multigrid scheme with an element-line smoother to solve the non-linear system of equations. A unified multigrid solver for the Navier-Stokes equations on mixed element meshes Author: Dimitri Mavriplis ; V Venkatakrishnan ; Institute for Computer Applications in Science and Engineering.

A unified multigrid solution technique is presented for solving the Euler and Reynolds-averaged Navier-Stokes equations on unstructured meshes using mixed elements consisting of triangles and.

Parallel Computational Fluid Dynamics: Algorithms and Results Using Advanced Computers P. Schiano, A. Ecer, J. Periaux and N. Satofuka (Editors) Elsevier Science B.V. A parallel multigrid algorithm for solving the incompressible Navier-Stokes equations with nonconforming finite elements in three dimensions.

by: 3. Algebraic multigrid (AMG) preconditioners are considered for discretized systems of partial differential equations (PDEs) where unknowns associated with different physical quantities are not necessarily co-located at mesh points. Speci cally, we investigate a Q 2 -Q 1 mixed finite element discretization of the incompressible Navier-Stokes equations where the number of velocity nodes is much greater than.

Multigrid for systems of differential equations such as the incompressible Navier-Stokes and compressible Euler equations are discussed in chapter 8.

More on multigrid for fluid flow problems is given in chapter Adaptive refinements of multigrid for problems on L-shaped domains and nonlinear problems with a shock are discussed in chapter 9.

In order to e ciently obtain all frequencies of the solution, a multigrid solver is used to solve the Navier-Stokes equations for incompressible ows. The method uses a cell-by-cell Gauss-Seidel smoother that is not straightforwardly parallelizable.

Moreover the coarsest grids are very coarse and cannot be solved in. Multigrid methods are solvers for linear system of equations that arise, e.g., in the discretization of partial di erential equations.

For this reason, discretizations of () will be considered: a nite di erence method and a nite element method. These discretizations are described in detail in the lecture notes of Numerical Math-ematics III.

3D Navier Stokes Equation Solver. Solving 3D incompressible Navier Stokes equation using finite difference method with uniform grid in parallel. The incompressibility is implemented using pressure-corr ection scheme and linear (Poisson) solver is implemented using multigrid v-cycle.

The code is pretty much based on this MATLAB implementation. This article develops a finite-element-based methodology for the numerical stimulation of the compressible Navier-Stokes equations on unstructured triangular meshes [1].

The flow solver uses a Galerkin finite-element discretization in space and an explicit Runge-Kutta multistage integration in by: 1.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda).A Newton-Krylov method is developed for the solution of the steady compressible Navier-Stokes equations using a Discontinuous Galerkin (DG) discretization on unstructured meshes. An element Line-Jacobi preconditioner is presented which solves a block tridiagonal system along lines of maximum coupling in the flow.D.

J. Mavriplis and V. Venkatakrishnan. A unified multigrid solver for the Navier-Stokes equations on mixed element meshes.

International Journal for Computational Fluid Dynamics, –, MathSciNet ADS zbMATH CrossRef Google ScholarAuthor: Dimitri J. Mavriplis.