2 edition of parallel multigrid method for predicting compressible flow in turbomachinery. found in the catalog.
parallel multigrid method for predicting compressible flow in turbomachinery.
Eric L. Li
Written in English
A parallel multigrid method is developed for solving two-dimensional inviscid compressible flows on body-fitted multi-block mesh. The method utilizes a Godunov-type up-winding scheme, exact and approximate Riemann solvers and limited reconstruction to achieve higher-order spatial accuracy. The computation is carried out on a quadrilateral grid that is divided into blocks to facilitate scalable performance on parallel computers. A Full Approximation Storage multigrid scheme is employed to accelerate the convergence of an explicit multistage time integration scheme. Several example cases, including the flow about NASA rotor 67, are used to validate the parallel algorithm and to investigate its convergence and parallel performance. The effectiveness of the multigrid method is demonstrated and good convergence acceleration is obtained, particularly for problems of increasing complexity. The parallel efficiency of the method is found to be dependant on the problem size. The potential of the algorithm for solving large scale and three-dimensional problems is indicated.
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Among the topics discussed are a novel three-dimensional vortex method, unsteady viscous flow around circular cylinders and 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 . To integrate the compressible-flow equations in time, we employ a generalized-α time integrator [55,56,57], which is an implicit, unconditionally stable, second-order accurate method with control over high-frequency dissipation. At each time step, the solution of the nonlinear algebraic-equation system is performed using the Newton–Raphson.
Engineering Analysis II, MAE B; Numerical Methods, MAE ; Compressible Fluid Dynamics, MAE C; Nonequilibrium Gas Dynamics, MAE ; \Cascade Flow Calculations by a Multigrid Euler Method," Journal of Propulsion and Power, Volume 9, No. 1, , pp. Parallel Flow Solver for Turbomachinery Flows," Journal of Propulsion and. () Numerical analysis of a high-order unstructured overset grid method for compressible LES of turbomachinery. Journal of Computational Physics , () A stable and accurate partitioned algorithm for conjugate heat transfer.
Parallel Two-Level Methods for Three-Dimensional Transonic Compressible Flow Simulations on Unstructured Meshes * *The work was supported in part by the NSF grants ASC, ECS, and ECS Parallel Computational Fluid Dynamics , A Compressible 3D Design Method for Radial and Mixed Flow Turbomachinery Blades International Journal of Numerical Methods in Fluids, Vol. 13, Zangeneh, M. A fully three-dimensional inverse design method for the design of radial and mixed flow turbomachines is described.
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For convergence acceleration a Multigrid solution method has been implemented. A Domain Splitting scheme improves the performance of the solver mainly in case of time-dependent flows.
An efficient solution method for parallel computations is proposed including two decomposition by: 7. This paper presents a parallel multigrid method for computing inviscid and viscous high speed steady-state reactive flows. The governing equations for reactive flow are solved using an explicit multigrid algorithm while treating the chemical source terms in a point implicit by: A.
JamesonMultigrid algorithms for compressible flow calculations Second European Conference on Multigrid Methods, Cologne,Lecture Notes in Mathematics,Springer-Verlag, Berlin () p. –Cited by: Books. AIAA Education Series; Library of Flight; Progress in Astronautics and Aeronautics; The Aerospace Press; Browse All Books; Meeting Papers; Standards; Other Publications.
Aerospace America ; Public Policy Papers ; ed by: Validation of a multigrid method for the Reynolds averaged equations. Turbomachinery Computations on Parallel Computers Using a Multigrid Method.
Aerodynamic shape optimization techniques based on control theory. Numerical study of viscous compressible flow inside planar and axisymmetric nozzles. A new method to predict traveling bubble cavitation inception is devised.
The crux of the method consists in combining the enhanced predictive capabilities of large-eddy-simulation (LES) for flow computation with a simple but carefully designed stability criterion for the cavitation nuclei.
This page was last modified on 13 Septemberat This page has been acces times. Content is available under GNU Free Documentation License In this paper an assessment of the improvement in the prediction of complex turbomachinery flows using a new near-wall Reynolds-stress model is attempted.
The turbulence closure used is a near-wall low-turbulence-Reynolds-number Reynolds-stress model, that is independent of the distance-from-the-wall and of the normal-to-the-wall direction. a preconditioner for the conjugate gradient method, which enables the use of a lightweight, purely geometric multigrid scheme while drastically improving convergence and robustness on irregular domains.
Our method is designed for parallel execution on shared-memory platforms and poses modest requirements in terms of bandwidth and memory footprint. CONTENTS vii In What Situations No Oblique Shock Exist or When. Upstream Mach Number, and Shock Angle, For Given Two Angles.
A PARALLEL AGGLOMERATION MULTIGRID METHOD FOR THE ACCELERATION OF COMPRESSIBLE FLOW COMPUTATIONS ON 3D HYBRID UNSTRUCTURED GRIDS GEORGIOS N. LYGIDAKIS * AND IOANNIS K. NIKOLOS † *,†School of Production Engineering and Management Technical University of Crete University Campus, GR Chania.
Martinelli, L., Calculations of viscous flow with a multigrid method, PhD thesis, Princeton University, Coarsening 3-D Hybrid Meshes for Multigrid Methods, Copper Mountain Multigrid. Parallel Time Integration with Multigrid Reduction for a Compressible Fluid Dynamics Application R.D.
Falgouty, A. Katz x, Tz.V. Kolev y, J.B. Schroder yk, A.M. Wissinkz, U.M. Yang y Octo Abstract We describe our e orts to speed up the computational uid dynamics (CFD) application code Strand2D via the parallel multigrid reduction in.
Parallel Algebraic Multigrid Methods - High Performance Preconditioners UlrikeMeierYang CenterforAppliedScientiﬂcComputing,LawrenceLivermoreNational. MULTIGRID ALGORITHMS FOR COMPRESSIBLE FLOW CALCULATIONS Antony Jameson October 1. 1 Introduction During the last two decades computational methods have transformed the science of aerodynamics.
Following the introduction of panel methods for subsonic ﬂow in the sixties [1,2], and major advances in the simulation of. Nishida and T. Miyano Parallel Property of Pressure Equation Solver with Variable Order Multigrid Method for Incompressible Turbulent Flow Simulations S.
Matsuyama, J. Shinjo, Y. Mizovuchi and S. Ogawa Parallel Numerical Simulation of Shear Coaxial LOX/GH2 Jet Flame in Rocket Engine Combustor 3. Purchase Parallel Computational Fluid Dynamics '97 - 1st Edition. Print Book & E-Book.
ISBNThe influence of the mean flow on the radiated noise is examined by considering NACA and RAE airfoils. After a steady-state is obtained from the multigrid method, the un-steady simulation is used to model the vortical gust's interaction with the airfoil.
Discretization methods up to fourth order were tested, but second order centered approximations, together with local grid refinement, were found to be the best compromise between accuracy, efficiency and ease of implementation.
The efficiency is increased by using multigrid methods and parallel computing. Dynamic Load Balancing for Parallel Adaptive Multigrid Methods on Unstructured Meshes. Efficient 3-D Flow Prediction on Parallel High-Performance Computers. Pages Durst, F. (et al.) Preview Buy Chap95 € Numerical Simulation of the Unsteady Turbomachinery Flow on a MIMD Computer.
Pages Engel, K. (et al.). tured-grid compressible flow code described in Refs.1,2, and 10 to incompressible flows. The extension provides a code that can be used in the design of airplanes, ships, auto-mobiles, pumps, ducts, and turbomachinery.
The extension also provides a tool for studying Mach-number effects on.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 .Numerical Analysis of a High-Order Unstructured Overset Grid Method for Compressible LES of Turbomachinery Article in Journal of Computational Physics .