3 edition of An effective multigrid method for high-speed flows found in the catalog.
An effective multigrid method for high-speed flows
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va
Written in English
|Statement||R.C. Swanson. E. Turkel, J.A. White.|
|Series||ICASE report -- no. 91-56., NASA contractor report -- 187602., NASA contractor report -- NASA CR-187602.|
|Contributions||Turkel, E., White, John A., 1939-, Langley Research Center.|
|The Physical Object|
A recent development in application of multigrid and multilevel adaptive methods for fluid flow by the numerical simulation group at Louisiana Tech University is reviewed. The multigrid method has been successfully applied for a number of flow cases including both steady and time-dependent flows. () A Cost-Effective Smoothed Multigrid with Modified Neighborhood-Based Aggregation for Markov Chains. Mathematical Problems in Engineering , () Theoretical bounds for algebraic multigrid performance: review and analysis.
Multigrid cycle We describe a geometric multigrid method for the Poisson problem deﬁned in (2). Our approach uses a V-Cycle of the Multigrid Correction Scheme [TOS01] and the pseu-docode for each V-Cycle iteration is given in Algorithm 1. The V-Cycle procedure requires a discretization of the Poisson problem at L+1 levels of resolution. A nonlinear primal dual method for Total Variation based image restoration, in ICAOS'96, 12th Int'l Conf. on Analysis and Optimization of systems: Images, wavelets and PDE's, Paris.
Robust Multigrid Methods by Wolfgang Hackbusch, , available at Book Depository with free delivery worldwide. multigrid algorithms are applied to the two-dimensional advec_ion equation, and Fourier analysis is used to determine their damping properties. The capabilities of the multigrid methods are assessed by solving three different hypersonic flow problems. Some new multigrid schemes based on semicoarsening strategies are shown to be quite effective.
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The use is considered of a multigrid method with central differencing to solve the Navier-Stokes equations for high speed flows. The time dependent form of the. An effective multigrid method for high-speed flows. A Multigrid Method for High Speed Reactive Flows Scott G. Sheffer*, Antony Jameson*, and Luigi Martinellr CFD Laboratory for Engineering Analysis and Design Department of Mechanical and Aerospace Engineering Princeton University Princeton, New Jersey U.S.A.
Abstract This paper presents a multigrid method for com-Cited by: 6. An Effective Multigrid Method for High-Speed Flows R. Swanson NASA Langley Research Center Hampton, VA E. Turkel * Tel-Aviv University Tel-AvivIsrael and Institute for Computer Applications in Science and Engineering Hampton, VA J.
White Analytical Services and Materials. Inc. Hampton, VA Abstract. Multigrid methods belong to the most promising methods for convergence acceleration and are widely used for non-reactive subsonic and transonic flows.
This paper presents the application of an implicit multigrid algorithm to non-reactive and reactive turbulent high speed : Peter Gerlinger, Dieter Brüggemann. Among the topics discussed are a novel three-dimensional vortex method, unsteady viscous flow around circular cylinders An effective multigrid method for high-speed flows book airfoils, a time-accurate multiple grid algorithm, the numerical solution of incompressible flows by a marching multigrid nonlinear method, the Navier-Stokes solution for hypersonic flow over an indented nosetip, graphics and flow visualization in computational fluid.
Sheffer, A. Jameson, L. Martinelli, A Multigrid Method for High Speed Reactive Flows Google Scholar CPRF J.R. Edwards, An implicit multigrid algorithm for computing hypersonic, chemically reacting viscous flows, J.
Comput. The application of multigrid methods is complicated if the set of governing equations contains strongly nonlinear source terms.
This is the case for finite-rate chemistry as well as for turbulence conservation equations. In most cases strong nonlinearities within the chemical production rates prevent convergence of standard multigrid methods.
Overlapping grids and multigrid methods for three-dimensional unsteady flow calculations in IC engines International Journal for Numerical Methods in Fluids, Vol. 15, No. 6 An effective multigrid method for high-speed flows. this method to three-dimensional flows.
This is unique in that existing methods (see Refs. ) using multigrid methods are attuned to computing thrpp-dimmsional subsonic/transonic flows bv ~.~.~.~ applying multigrid in three dimensions. For the case of very high speed flows, the effectiveness of applyiig a multigrid algorithm to all three.
A simple and effective method is presented that enables the multigrid scheme to converge. A strong reduction in the required number of multigrid cycles and work units is achieved for different test cases, including a Mack 2 flow over a backward facing step.
In numerical analysis, a multigrid method (MG method) is an algorithm for solving differential equations using a hierarchy of are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength.
In the present work, a 3-level V-cycle multigrid method is implemented as a simple but extremely effective method for accelerating the convergence of the Runge-Kutta time stepping.
At each multigrid cycle, the numbers of iteration for each level are 5, 10 respectively. Get this from a library. An effective multigrid method for high-speed flows. [R Charles Swanson; E Turkel; John A White; Langley Research Center.].
An Effective Multigrid Method for High-Speed Flows R. Swanson NASA Langley Research Center Hampton, VA E. Turkel * Tel-Aviv University Tel-AvivIsrael and Institute for Computer Applications in Science and Engineering Hampton, VA J.
White Analytical Services and Materials, Inc. Hampton, VA Abstract. 4 MULTIGRID METHODS c Gilbert Strang u2 = v1 2+ = 2 u1 0 1 j=1 m=1 m=3 j=7 uj 2 8 vm 4 sin 2m = sin j (a) Linear interpolation by u= I1 2 h hv (b) Restriction R2h 2 (2h h) T h Figure Interpolation to the h grid (7 u’s).
International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 11, No. 4 Geometric multigrid with applications to computational fluid dynamics Journal of. Part of the Lecture Notes in Mechanical Engineering book series (LNME) Abstract. Matrix dissipation scheme is known to give more accurate solutions than scalar dissipation scheme.
An effective multigrid method for high-speed flows. Commun. Appl. Numer. Methods () Google Scholar. Thibert, J.J., Grandjacques, M., Ohman, L.H.: NACA.
The application of the multigrid method to accelerate the conventional Navier-Stokes calculations for two-dimensional incompressible steady state turbulence flows is presented.
The calculation solves time averaged Navier-Stokes equations in primitive variables using a decoupled manner. Two equations model of turbulence (k-epsilon model) is employed to predict turbulent flow problem, and the. The main difficulty of developing robust and effective multigrid methods for the saddle point system is to design an effective smoother with the consideration of the constraint div u = g.
We shall use the Peaceman-Rachford iteration developed in [ 15 ] as a smoother since the nonlinearity can be handled efficiently and the constraint is always.
An effective multigrid method for high-speed flows. By J. A. White, R. C. Swanson and E. Turkel. Abstract. The use is considered of a multigrid method with central differencing to solve the Navier-Stokes equations for high speed flows. The time dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time.() Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes.
Numerical Linear Algebra with Applications() Parallel characteristic finite element method for time-dependent convection-diffusion problem.An effective multigrid method for high-speed flows.
By J. A. White, E. Turkel and R. C. Swanson. Abstract. The use is considered of a multigrid method with central differencing to solve the Navier-Stokes equations for high speed flows. The time dependent form of the equations is integrated with a Runge-Kutta scheme accelerated by local time.