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Wednesday, November 25, 2020 | History

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

Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes

Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes

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  • 17 Currently reading

Published by NASA Langley Research Center in Hampton, Va .
Written in English

    Subjects:
  • Aerodynamics.,
  • Fluid mechanics.,
  • Numerical grid generation (Numerical analysis)

  • Edition Notes

    StatementDimitri J. Mavriplis.
    SeriesICASE report -- no. 88-40., NASA contractor report -- 181679., NASA contractor report -- NASA CR-181679.
    ContributionsInstitute for Computer Applications in Science and Engineering., Langley Research Center.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15384147M

    A stable, robust and high order accurate numerical method for Eulerian simulation of spray and particle transport on unstructured meshes By A. Larat, M. Massot AND A. Vi´e 1. Motivation and objectives The general framework of the present contribution is the numerical simulation of phys-. A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for swirling ows S. Claina, D. Rochetteb, R. Touzanic aInstitut de Mathématiques, CNRS UMR , Université Paul Sabatier Toulouse 3, route de Narbonne, Toulouse Cedex 4, France. Multi-stage Jacobi relaxation as smoother in a multigrid method for steady Euler equations Multigrid convergence acceleration of an upwind Euler algorithm on multiply-embedded meshes Implicit multigrid algorithm for Euler equations on block-structured grids with discontinuous interfaces


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Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes Download PDF EPUB FB2

Get this from a library. Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes. [Dimitri Mavriplis; Institute for Computer Applications in Science and Engineering.; Langley Research Center.].

MULTIGRID SOLUTION OF THE TWO-DIMENSIONAL EULER EQUATIONS ON UNSTRUCTURED TRIANGULAR MESHES D. Uavriplie end A. Jememon Department of Mechanicml end Aerospace Engineering Princeton Univermity - Princeton, New Jersey Two finite volume diecretixetions of the Euler equetions on Unstructured triangular meshem ere presented, one of.

JOURNAL OF COMPUTATIONAL AND APPUED MATHEMATICS ELSEVIER Journal of Computational and Applied Mathematics 67 () A multigrid method with unstructured adaptive grids for steady Euler equations Kris Riemslagh, Erik Dick* Department of Mechanical and Thermal Engineering, Universiteit Gent, Sint-Pietersnieuwstraat 41, B Gent, Belgium Received 2 March ; revised Cited by: 2.

Local Mesh Enrichment for a Block Structured 3D Euler Solver. Authors; Authors and affiliations; Hall, M.G.: “Cell-Vertex Multigrid Schemes for Solution of the Euler Equations”, Proceeding of the Conference on Numerical “Accurate Multigrid Solution of the Euler Equations on Unstructured and Adaptive Meshes”, ICASE Report 88–40 Cited by: 1.

Mar 01,  · The AUSM+ (Advection Upstream Splitting Method) scheme which was developed on a structured grid has been extended to be used on an unstructured grid. The monotone linear reconstruction procedure using Green-Gauss theory is utilized to obtain second-order spatial accuracy.

Barth's limiter is employed to prevent the solution from spurious oscillations. An adaptive multigrid Cited by: 3. 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. 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.

A finite difference solution on non-body-fitted Cartesian grids has been developed for the two-dimensional compressible Euler equations. The solution is based on the method of lines. The spatial derivatives of the Euler equations are first discretized by finite difference approximations on stretched cincinnatiblackhistory.com by: An overview of current multigrid techniques for unstructured meshes is given.

The basic and the combination of multigrid techniques with adaptive a simple first-order accurate vertex-based discretization of the Euler equations in three dimensions. A simple discretization of this type can be shown to result in a near. 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. The authors describe a method of local adaptive grid refinement for the solution of the steady Euler equations in two dimensions, which automatically selects regions requiring mesh refinement by.

Unstructured Geometric Multigrid in Two and Three Dimensions on Complex and Graded Meshes Peter R. Brune Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes book G. Knepley z L. Ridgway Scott April 6, Abstract The use of multigrid and related preconditioners with the nite element method is oftenAuthor: Peter R.

Brune, Matthew G. Knepley, L. Ridgway Scott. A scheme for the numerical solution of the two‐dimensional (2D) Euler equations on unstructured triangular meshes has been developed.

The basic first‐order scheme is a cell‐centred upwind finite‐volume scheme utilizing Roe's approximate Riemann solver. A space-time discontinuous Galerkin method for the time-accurate numerical solution of hyperbolic conservation laws. R Lowrie and; P Roe, n Leer, B A Roe-type linearization for the Euler equations for weakly ionized multi-component and multi-temperature gas.

A 3D unstructured adaptive multigrid scheme for the Navier-Stokes equations. mesh approach by using an analytical solution to the Euler equations (Ringleb's flow) and directly compares the solu- tion accuracy to that obtained with a (streamline-aligned) structured mesh calculation.

The effect of adaptive mesh refinement is evaluated using Ringleb's flow, which is smooth and analytic, and the non-smooth supersonic flow.

In this paper, a multigrid algorithm is developed for the third-order accurate solution of Cauchy-Riemann equations discretized in the cell-vertex finite-volume fashion: the solution values stored at vertices and the residuals defined on triangular elements.

On triangular grids, this results in a highly. A FINITE VOLUME METHOD FOR THE TWO-DIMENSIONAL EULER EQUATIONS WITH SOLUTION ADAPTATION ON UNSTRUCTURED MESHES Majid Ahmadi Wahid S. Ghaly Department of Mechanical Engineering, Concordia University, de Maisonneuve W. Limiters for Unstructured Higher-Order Accurate Solutions of the Euler Equations Krzysztof Michalak∗ and Carl Ollivier-Gooch† Advanced Numerical Simulation Laboratory University of British Columbia Higher-order finite-volume methods have been shown to be more efficient than second-order cincinnatiblackhistory.com by: SOLUTION OF THE EULER EQUATIONS FOR TWO DIMENSIONAL TRANSONIC FLOW BY A MULTIGRID METHOD Antony Jameson Princeton University Princeton, NJ 1 Introduction A crucial input to the design of a long range aircraft is the prediction of the aerodynamic ow in cruising ight.

The Spectral Difference Method for the 2D Euler Equations on Unstructured Grids Z.J. Wang* Department of Aerospace Engineering, Ames, IA and Yen Liu† NASA Ames Research Center, Moffett Field, CA An efficient, high-order, conservative method named the spectral difference method has been developed recently for conservation laws on Cited by: An Adaptively-Refined Cartesian Mesh Solver for the Euler Equations Darren De Zeeuw * Kenneth G.

Powell t The University of Michigan Department of Aerospace Engineering Ann Arbor, MI April, Abstract A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented. steady-state solutions to the Euler equations using a multidimensional upwind method and local solution­ adaptive mesh refinement on structured grids.

The second-order unsplit multidimensional upwind method of Colella [lJ, as modified by Dudek and Colella for steady-state flows [2), is used to calculateCited by: 2.

Solution adaptive unstructured grid generation using pseudo-pattern recognition techniques. Parallelization of the Euler equations on unstructured grids. Christopher Bruner, Robert Walters, An adaptive solver for the Navier-Stokes equations on unstructured hexahedral meshes.

Van de Velde, C. Lacor, Ch. Hirsch, O. Van de Velde. existing Euler equations solver for 2D and 3D unstructured grids. The solver is based on a time-marching formulation for the high-subsonic/transonic flow equations and a pointwise implicit solution algorithm. The gain from the combined use of multigrid and parallelization is the reduction of both CPU cost and elapsed computational time.

Attention is focused on four areas, namely the generation of unstructured high-order meshes, the development of simple and efficient time integration schemes, the development of robust and accurate shock capturing algorithms, and fi-nally the development of high-order methods that are intuitive and simple to implement.

Application of an implicit relaxation method solving the Euler equations for time-accurate unsteady problems. A 3D agglomeration multigrid solver for the Reynolds-averaged Navier–Stokes equations on unstructured meshes. Int. Computation of unsteady transonic flows by the solution of the Euler equations.

AIAA J. 26 Cited by: The development of unstructured grid-based, finite-element methods for the simulation of fluid flows is reviewed. The review concentrates on solution techniques for the compressible Euler and Navier-Stokes equations, employing methods which are based upon a Galerkin discretization in space together with an appropriate finite-difference representation in cincinnatiblackhistory.com by: A crucial step in obtaining high-order accurate steady-state solutions to the Euler and NavierStokes equations is the high-order accurate reconstruction of the solution from cell-averaged values.

Only after this reconstruction has been completed can the flux integral around. EVALUATION OF DISCONTINUOUS GALERKIN AND SPECTRAL VOLUME MEDTHODS FOR 2D EULER EQUATIONS ON UNSTRUCTURED GRIDS Yuzhi Sun* and Z.J. Wang† Department of Mechanical Engineering Michigan State University, East Lansing, MI ABSTRACT The discontinuous Galerkin (DG) method and spectral volume (SV) method are two classes of robust and.

Unstructured Mesh Algorithms for Aerodynamic Calculations p. 57 Fluid Flow Visualization: Recent Developments and Future Directions p. 78 A Multi-Dimensional Solution Adaptive Multigrid Solver for the Euler Equations p.

90 A Multi-Dimensional Upwind Scheme for the Euler Equations p. 95 On a Method to Construct Godunov-Type Schemes p. 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.

Grid generation and flow solution method for Euler equations on unstructured grids (SuDoc NAS ) [W. Kyle Anderson] on cincinnatiblackhistory.com *FREE* shipping on qualifying cincinnatiblackhistory.com: W. Kyle Anderson. structed multigrid algorithms for the Navier-Stokes equations on unstructured meshes in two and three space dimensions.

Another approach is to generate the grid hierar-chy automatically and directly from the given unstructured ne grid. This approach requires less from the user because only the ne grid, on which the solution is sought, is cincinnatiblackhistory.com by: A robust WENOtype finite volume solver for steady Euler equations on unstructured grids Guanghui Hu1,∗, Ruo Li2, Tao Tang1 1 Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong.

2 CAPT, LMAM & School of Mathematical Sciences, Peking University, Beijing,China Abstract. A recent work of Li et al. [Numer. In this paper, the proposed technique is evaluated to check its performance and severe analyses of bending cantilevers.

Performance of MG for unstructured hexahedral meshes is compared with that of the PCG (preconditioned conjugate gradient) through several benchmark examples of 3 Cited by: 3. An upwind scheme is presented for solving the three-dimensional Euler equations on unstructured tetrahedral meshes.

Spatial discretization is accomplished by a cell-centered finite-volume formulation using flux-difference splitting. A multi-dimensional solution adaptive multigrid solver for the Euler equations. Pages A second-order TVD method for the solution of the 3D Euler and Navier-Stokes equations on adaptively refined meshes.

A multigrid finite volume method based on multistage Jacobi relaxation for steady Euler equations on adaptive unstructured grids. A p-Multigrid Discontinuous Galerkin Method for the Euler Equations on Unstructured Grids, Journal of Computational Physics, Vol.No.

1, pp.A finite volume method on unstructured meshes [12] is used for the numerical discretization of the fluid dynamics equations. The Euler equations are numerically solved by local time-stepping using an upwind scheme with Roe's approximate Riemann solver on a triangular mesh.

A Runge Kutta formulation is used for the time integration. for Flow Problems on Unstructured Meshes p. A Time-Accurate Multigrid Algorithm for Euler Equations p. Hypersonic Viscous Flow Computations with Solver and Grid Sensitivity Analysis p.

Speed-Up of CFD Codes Using Analytical FE Calculations p. A Field Method for 3-D Tetrahedral Mesh Generation and Adaption p. This work contains selected contributions to a workshop on "Numerical Methods for the Navier-Stokes Equations" held at the IBM Scientific Center, Heidelberg during October, in collaboration with the SFB "Reactive Flow, Diffusion and transport" of Heidelberg University.A successful adaptive mesh scheme consists of three components: a flow solver, a strategy for identifying regions for refinement and coarsening, and a mechanism for dynamically altering the mesh.

Our flow solver is a version of Timothy Barth's TRI-3D unstructured-grid Euler solver, developed at the NASA Ames Research Center.for the Euler Equations Using Unstructured Grids L.

M. Manzano,⁄ J. V. Lassaline,y P. Wong,z and D. W. Zinggx Institute for Aerospace Studies University of Toronto Dufferin St. Toronto, Ontario, Canada M3H 5T6 A Newton-Krylov flow solver is presented for the Euler equations on unstructured grids.