Computational Fluid Dynamics - Principles and Applications 3rd Edition

【实例简介】
Computational Fluid Dynamics - Principles and Applications 3rd Edition 2015
Butterworth he is an imprint of else The boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UK 5 Wyman Street, Waltham, MA 02451, USA Copyright C 2015 Elsevier Ltd. All rights reserved First edition: 2005 R Copyright C 2005, J. Blazek. Published by elsevier Ltd. All rights reserved No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanic al including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. 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Gray, during the preparation of this edition LIST OF SYMBOLS Jacobian of convective Tuxes 4 acobian of viscous fluxes constant depth of control volume in two dimensions C eed of sound specific heat coefficient at constant pressure specific heat coefficient at constant volume vector of characteristic variables molar concentration of species m(=pYm/wm) Smagorinsky constant ow av au aw av du curl v curl of v dzdz dx dx d y distance diagonal part of implicit operator a al di spatio effective binary diffusivity of species m du av du gence of v +— y Internal energy per unit mass E total energy per unit mass Fourier symbol of the time-stepping operator f e vector of external volume forces flux vecto Aux tensor amplification factor relocity enthal △h local grid(cell)size H otal(stagnation) enthalj H Hessian matrix (matrix of second derivatives imaginary unit List of Symbols identity matrix unit tensor 2h interpolation operator 2h restriction operator 1JJ prolongation operator system matrix (implicit operator inverse of determinant of coordinate transformation Jacobian thermal conductivity coefficient K turbulent kinetic energy Kf, Kh forward and backward reaction rate constants turbulent length scale strictly lower part of implicit operator components of leonard stress tensor M Mach number M mass matrix unit normal vector(outward pointing) of control volume face x components of the unit normal vector in x-, y-,2-direction number of grid points, cells, or control volumes number of adjacent control volumes F number of control volume faces static pressure production term of kinetic turbulent energy transformation matrix from primitive to conservative variables left and right preconditioning matrix(Krylov-subspace methods) Prandtl number qh heat flux due to radiation chemical reactions. etc source term position vector(Cartesian coordinates); residual (GMRES) vector from point i to point 1 R specific gas constant R universal gas constant(=8314.34/kg mol k) R residual, right-hand side R smoothed residual rotation matrix List of Symb Re eynolds number rate of change of species m due to chemical reactions face vector(=△S components of strain-rate tensor Sx, Sy, s Cartesian components of the face vector surface element △S length/area of a face of a control volume time turbulent time scale time step static temperature matrix of right eigenvectors T-1 matrix of left eigenvectors Cartesian velocity components skin friction velocity(=tulp) general (scalar) flow variable strictly upper part of implicit operator vector of general How variables velocity vector with the components u, v, and i contravariant velocity IIw contravariant velocity relative to grid motion contravariant velocity of a face of the control volume molecular weight of species m vector of conservative variables(= lp, pu, pv, pw,pEI vector of primitive variables([p, u,v,w, TI ,y,之 Cartesian coordinate system △ cell size in x-direction nondimensional wall coordinate( p yur/uw) mass fraction of species m Fourier symbol of the spatial operator angle of attack, inlet angle coefficient of the Runge-Kutta scheme (in stage m) parameter to control time accuracy of an implicit scheme blending coefficient(in stage m of the Runge-Kutta scheme List of Symbols ratio of specific heat coefficients at constant pressure and volume circulation preconditioning matrix (low Mach-number flow Kronecker symbol rate of turbulent energy dissipation c∈cλA-A smoothing coefficient(implicit residual smoothing); parameter thermal diffusivity coefficient second viscosity coefficient eigenvalue of convective flux Jacobian diagonal matrix of eigenvalues of convective fux Jacobian ^A^A spectral radius of convective Aux Jacobian spectral radius of viscous fiux Jacobian dynamic viscosity coefficient kinematic viscosity coefficient(= u/p) 5,n,s curvilinear coordinate system density Courant-Friedrichs-Lewy(CFL)number CFL number due to residual smoothing viscous stress wall shear stress viscous stress tensor (normal and shear stresses components of viscous stress tensor components of Favre-averaged reynolds stress tensor R components of Reynolds stress tensor components of subgrid-scale stress tensor SE components of Favre-filtered subgrid-scale stress tensor SR components of subgrid-scale reynolds stress tensor rate of dissipation per unit turbulent kinetic energy (=E/k pressure sensor control volume components of rotation-rate tensor 02 boundary of a control volume miter function List of Symbols XV au du dU VU gradient of scalar U y02 a-u du 0U VU Laplace of scalar U 2-norm of vector u U. U SUBSCRIPTS convective part related to convection diffu usive part nodal point index L,,K index of a control volume laminar: left index of control volume face; species R right T turbulent Viscous part related to volume wall x,y,z components in the x-,y-, 2-direction at infinity(far-field) SUPERSCRIPTS I,, K direction in computational space previous time leve 1+1 new time leve transpose Favre averaged mean value; Favre-filtered value Les fluctuating part of Favre decomposition; subgrid scale (les Reynolds averaged mean value; filtered value (LES) Fluctuating part of Reynolds decomposition; subgrid scale(LES ABBREVIATIONS AGARD Advisory group for aerospace research and Development (NATO) AIAA American Institute of aeronautics and astronautics ARc Aeronautical Research Council. UK ASME The American Society of Mechanical Engineers CERCA Centre de recherche en Calcul Applique(centre for Research on Computation and its Applications), Montreal Canada CERFACs Centre Europeen de recherche et de Formation avancee en Calcul Scientifique(European Centre for Research and Advanced Training in Scientific Computation), France DFVLR (now DlR) Deutsche Forschungs-und Versuchsanstalt fur Luft und Raumfahrt(German Aerospace Research Establishment DLR Deutsches zentrum fur Luft- und raumfahrt (German Aerospace Center) ERCOFTAC European Research Community on Flow, Turbulence and Combustion ESA European Space agency FFA Flygtekniska Forsoksanstalten(The Aeronautical Research Institute of Sweden) GAMM Gesellschaft fur Angewandte Mathematik und mechanik (German Society of Applied Mathematics and Mechanics) ICASE Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, USA INRIA Institut National de recherche en Informatique et en automatique (The French National I e for Research in Computer s Id Control ISABE International Society for Air Breathing Engines MAE Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NY,USA 【实例截图】
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