3 edition of **Multigrid solution of the Euler equations on unstructured and adaptive meshes** found in the catalog.

Multigrid solution of the Euler equations on unstructured and adaptive meshes

- 337 Want to read
- 8 Currently reading

Published
**1987**
by National Aeronautics and Space Administration, Langley Research Center, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va
.

Written in English

- Aerodynamics.,
- Fluid mechanics.

**Edition Notes**

Statement | Dimitri Mavriplis, Antony Jameson. |

Series | ICASE report -- no. 87-53., NASA contractor report -- 178346., NASA contractor report -- NASA CR-178346. |

Contributions | Jameson, Antony, 1934-, Langley Research Center. |

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

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15282969M |

multigrid method can dramatically accelerate the convergence of transonic potential flow calcula- tions, although the governing equations are of mixed elliptic and hyperbolic type [l]. For the Euler equations a multigrid scheme proposed by Ni has widely been used In its published form his distributed correction scheme includes an. The two-dimensional Euler equations have been solved on a triangular grid by a multigrid scheme using the finite volume approach. By careful construction of the dissipative terms, the scheme is.

DOI link for multigrid methods. multigrid methods book. theory, applications, and supercomputing. multigrid methods. DOI link for multigrid methods. multigrid methods book. theory, applications, and supercomputing. By Stephen F. Mccormick. Edition 1st Edition. First Published eBook Published 12 August MULTIGRID SOLUTION OF THE EULER EQUATIONS ON UNSTRUCTURED AND ADAPTIVE MESHES Dimitri Mavriplis Antony Jameson (RASA-CR- ) HOLILIGBID SCLU!lXOI OF THE EUCBR EQtlATIGtlS CR UNSPBUCTUFikt AND ADAPTIVE uEsBES Final Report (USA) 21 p Avail: OTIS BC &02/flP A01 CSCL 01A Unclas 63/02 Contract No. NAS July

A multigrid scheme for solving the Euler equations is presented. The method he5 been suc- cessfuily applied to two-dimensional airfoil calcu- lations on both &type and C-type meshes. In three dimensions the scheme has proved equally effective and calculations of flows over wing/body corn-. Solution of the steady Euler equations by a multigrid method both quasi-uniform and local adaptive meshes. Fruitful numerical results illustrated the efficiency and robustness of our algorithm.

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A Delaunay algorithm (Weatherill, ), in which the distribution of mesh points is either determined by conformal mapping techniques or by adaptive refinement of the previous coarser mesh Cited 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.

An unstructured Finite Element method for the transient solution of the compressible Navier-Stokes equations using triangular respectively tetrahedral elements is presented. For convergence acceleration a Multigrid solution method has been by: 7.

Summary. The hydrodynamic Euler equations typically have solutions with local features. A steady Euler solver is described which uses three techniques that facilitate the computation of spatially accurate solutions: irregular mesh discretizations and adaptive refinement, multigrid methods and distributed memory parallelism.

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On the accuracy of viscous airfoil computations using solution-adaptive unstructured grids. A multigrid algorithm has been developed for solving the steady-state Euler equations in two dimensions on unstructured triangular meshes. The method assumes the various coarse and fine grids of.

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K. Riemslagh, E. Dick, A multigrid method for steady Euler equations on unstructured adaptive grids, 6th Copper Mountain Conf. on Multigrid Methods, NASA Conference Publication, Google Scholar.

This paper presents a finite-volume method for solving the compressible, two-dimensional Euler equations using unstructured triangular meshes. The integration in time, to a steady-state solution, is performed using an explicit, multistage Runge-Kutta algorithm.

ZONAL MULTIGRID SOLUTION OF COMPRESSIBLE FLOW PROBLEMS ON UNS'TRUC'I'UREI) ANI) ADAPTIVE MESIIES D. Mavriplis Institute for Computer Applications in Science and Engineering NASA 1,angley Research Center IJampton, VA ABSTRACT This work is concerned with the simultaneous use of adaptive meshing techniques with a mul- tigrid strategy for solving the two-dimensional Euler equations.

Dear friends, I applied unstructured multigrid method to Laplace equation, I found the solution converged effectively.

But when I applied the sam Unstructured Multigrid Method for Euler equations -- CFD Online Discussion Forums. The multigrid method based on multi-stage Jacobi relaxation, earlier developed by the authors for structured grid calculations with Euler equations, is extended to unstructured grid applications.

The meshes are generated with Delaunay triangulation algorithms and are adapted to the flow solution. Mavriplis, D. and Jameson, A. Multigrid Solution of the Euler Equations on Unstructured and Adaptive Meshes, ICASE ReportJuly (also NASA CR).

Mavriplis, D. Accurate Multigrid Solution of the Euler equations on Unstructured and Adaptive Meshes, AIAA Paper The parallel efficiency of the code was tested for the lenticular missile configuration with 1, cells.

Shown in Figure 9 is the speedup curve for up to 28 solution blocks (or 28 processors), indicating almost a % efficiency on an IBM SP (Power 3) system.

It is interesting to note that, with the current algorithm, more than one block may be assigned to each processor, which is the.Euler B 9 uations on Unstructured AIM 25th Aerospace Sciences Meeting January/Reno, Nevada.

MULTIGRID SOLUTION OF THE TWO-DIMENSIONAL EULER EQUATIONS ON UNSTRUCTURED TRIANGULAR MESHES D. J. Uavriplie end A. Jememon Department of Mechanicml end Aerospace Engineering.