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• Two phase flow
  Resolution of these equations requires the knowledge of the instantaneous velocity of the fluid at partic
  13 KB (2,060 words) - 11:38, 6 December 2010
• Wall modeling
  ...ry poor in the Ke model hence the near wall region is approximated by wall equations. This is achieved by having the first cell in the turbulent region by calcu
  198 B (36 words) - 05:41, 2 March 2006
• Near-wall treatment for LES models
  ...be determined from an algebraic law-of-the-wall model or from differential equations solved on a near-wall-layer grid refined in ...d into the main flow,and the following simplified turbulent boundary-layer equations are solved:
  3 KB (497 words) - 12:30, 8 June 2006
• Boussinesq eddy viscosity assumption
  *[[Introduction to turbulence/Reynolds averaged equations#Turbulence closure problem and eddy viscosity|Turbulence closure problem an
  2 KB (292 words) - 09:15, 3 January 2012
• Skin friction coefficient
  ''Add proper reference for equations in [2]''
  4 KB (516 words) - 12:14, 14 January 2016
• Low-Re k-epsilon models
  ==Governing equations==
  6 KB (842 words) - 09:58, 17 December 2008
• Introduction to turbulence/Statistical analysis/Ensemble average
  .... Only ensemble averages will be used in the development of the turbulence equations here unless otherwise stated.
  8 KB (1,391 words) - 12:29, 2 July 2011
• Introduction to turbulence/Reynolds averaged equations
  == Equations governing instantaneous fluid motion == All fluid motions, whether turbulent or not, are governed by the dynamical equations for a fluid. These can be written using Cartesian tensor notation as:
  45 KB (7,578 words) - 08:35, 21 August 2013
• FENSAP-ICE
  ...rom FENSAP, or other CFD codes, and solves fine-grain partial differential equations for droplet velocity and concentration everywhere in the field. While a few ...ule of the FENSAP-ICE system. ICE3D solves fine-grain partial differential equations for thermodynamics and yields the 3-D shape of ice and the water film thick
  2 KB (299 words) - 14:56, 15 December 2006
• Flow around a circular cylinder
  ....A., 1996, Steady-state numerical solution of the Navier-Stokes and energy equations around a horizontal cylinder at moderate Reynolds numbers from 100 to 500,
  6 KB (884 words) - 11:31, 8 April 2017
• Introduction to turbulence/Turbulence kinetic energy
  ... the Navier-Stokes equations as a starting point has left us with far more equations than unknowns. Unfortunately this means that the turbulence ... a simple solution: we simply cannot produce a set of reasonably universal equations. Obviously we are going to have to study the turbulence fluctuations in mor
  47 KB (7,664 words) - 12:47, 13 December 2013
• CFD-FASTRAN
  ...r Stokes equations of flow but the user can solve the reduced Euler set of equations by selecting the inviscid option. For turbulent flows, the software support
  2 KB (337 words) - 09:53, 17 December 2008
• Jeffery-Hamel flow
  The Navier-Stokes equations in cylindrical coordinates then reduce to
  5 KB (777 words) - 21:03, 1 September 2006
• Discontinuous Galerkin
  solve the Euler equations by Cockburn and Shu. The solution of the Navier-Stokes equations with the DG method was first accomplished by Bassi and Rebay in 1997.
  9 KB (1,518 words) - 09:15, 3 January 2012
• K-epsilon models
  ...n models|two equation model]], that means, it includes two extra transport equations to represent the turbulent properties of the flow. This allows a two equati
  3 KB (406 words) - 16:03, 18 June 2011
• K-omega models
  ...n models|two equation model]], that means, it includes two extra transport equations to represent the turbulent properties of the flow. This allows a two equati
  1 KB (148 words) - 12:43, 12 October 2011
• NOGRID
  ...and continuum mechanical problems. FPM is a method for the solution of the equations governing viscous fluid flows, including the effects of heat and mass trans
  3 KB (408 words) - 07:32, 14 June 2018
• Zeta-f model
  ... relaxation model. For the incompressible Newtonian fluid the final set of equations constituting the <math>\zeta-f</math> model is given below.
  3 KB (440 words) - 10:06, 17 December 2008
• J-FLO
  ...quations and whose solution cost is comparable to that of solving the flow equations. Thus, the gradient can be determined with roughly the computational costs ...ude analysis and optimal control capabilities using Euler or Navier-Stokes equations, with automatically generated structured or unstructured body-conforming gr
  2 KB (340 words) - 15:00, 15 December 2006
• 2-D laminar/turbulent driven square cavity flow
  ...ng area" for approbation of [[approximation schemes]] for terms in initial equations as well as of [[computational models]] and methods. A large number of calcu ....{{fact} In the earliest renditions of this problem, the [[Navier–Stokes equations]] were transformed into [[vorticity–stream function]] variables for econo
  5 KB (692 words) - 18:37, 13 August 2007
• PHOENICS
  ... partial differential equations are converted into algebraic finite-volume equations with the aid of discretisation assumptions for the transient, convection, d For curvilinear coordinates, the default option is to solve the momentum equations in terms of the covariant projections of the velocity vector into the local
  11 KB (1,641 words) - 11:18, 5 July 2013
• Transition to turbulence
  ...minar flow and turbulence flows are special solutions of the navier stokes equations. The latter predominates in flows with vanishing viscosity. The Reynolds nu
  4 KB (558 words) - 00:11, 23 May 2007
• Cfd simulation of vortex shedding
  ...ions in time. In [[Compressible flow|compressible fluids]], the governing equations are often written in terms of the [[conservative form]] of [[Euler's equati ...he top, bottom, and right boundaries. The quantities of the Navier-Stokes equations were non-dimensionalized and the [[Schemes_by_Leonard_-_structured_grids|QU
  4 KB (584 words) - 23:32, 29 October 2008
• Discrete Poisson equation
  [[Category:Numerical differential equations]]
  8 KB (1,117 words) - 16:32, 25 May 2007
• NaSt2D-2.0
  ...e SOR-method ('''''successive over-relaxation''''') the '''''Navier-Stokes equations''''', discreted by finite difference method, in a staggered rectangle grid
  912 B (120 words) - 09:35, 11 October 2016
• SSIIM
  ...Simulation in Intakes with Multiblock Option. It solves the Navier-Stokes equations using the control volume method with the SIMPLE algorithm and the k-epsilon
  2 KB (340 words) - 06:27, 19 July 2016
• A roughness-dependent model
  Figure (1) shows that the velocity profile obtained from equations (8), (4) and (5) (solid line) is more accurate than the logarithmic velocit
  4 KB (620 words) - 12:47, 22 June 2007
• Reynolds averaged equations and the turbulence closure problem
  #REDIRECT [[Introduction to turbulence/Reynolds averaged equations]]
  68 B (7 words) - 10:04, 17 December 2008
• Tdyn
  ...is also possible to configure additional user defined partial differential equations (PDE) solvers and couple the new variables with any of the other problems.
  3 KB (388 words) - 09:14, 3 January 2012
• FDS
  ... applications. The software solves numerically a form of the Navier-Stokes equations appropriate for low-speed, thermally-driven flow with an emphasis on smoke
  797 B (125 words) - 14:36, 28 August 2007
• Introduction to turbulence/Stationarity and homogeneity
  Homogeneity will be seen to have powerful consequences for the equations govering the averaged motion, since the spatial derivative of any averaged
  41 KB (6,536 words) - 09:19, 25 February 2008
• Non-equilibrium Flow
  ...then relaxation equations may be added to the conservation (Navier{Stokes) equations. In the other extreme case of Knc > 1, as a pragmatic engineering approach, ...troduce these results in form of transition probabilities into the kinetic equations. Since, with increasing complexity of molecules, also the dimensionality in
  3 KB (451 words) - 09:15, 3 January 2012
• Discrete Operator Splitting
  vectors for the momentum and the continuity equations,
  4 KB (587 words) - 16:25, 28 December 2010
• Introduction to turbulence/Free turbulent shear flows
  ...ever be possible to neglect the turbulent transport terms in the dynamical equations, at least in the directions in which the flow is spreading. This is because ...ales continue to grow as long as the flow remains turbulent. The dynamical equations and boundary conditions for many free shear flows can be shown to admit to
  67 KB (11,204 words) - 13:42, 19 April 2016
• Hydrodynamic/acoustic splitting
  ...turbed quantities denoted by ('). The original full perturbed compressible equations (PCE) ... quantities can be derived by subtracting the incompressible Navier-Stokes equations from the
  7 KB (1,056 words) - 22:26, 30 July 2008
• Riemann Problem
  ...ives an exact solution to complicated, non-linear equations like the Euler equations.
  802 B (121 words) - 07:38, 10 November 2008
• Solution of Boltzmann Equation
  ...scani in 2004 studied spectral methods for numerical solution of Boltzmann equations and Ibragimov, Rjasanow in 2002 proved an <math>O(n^{-2})</math> numerical Recent results that improve the numerical solution of Boltzmann equations are done in 2007 by [http://www.elegant-mathematics.com/gpu-boltzmann.pdf I
  5 KB (908 words) - 03:08, 13 May 2010
• Immersed boundary method
  ...he force of the surface of the object on the fluid) to the Navier–Stokes equations. This force density, if chosen properly, should result in a solution to the
  3 KB (451 words) - 07:08, 17 September 2009
• RANS-based turbulence models
  [[Introduction to turbulence/Reynolds averaged equations]] ...equations is to compute the [[Introduction to turbulence/Reynolds averaged equations|Reynolds stresses]], which can be done by three main categories of RANS-bas
  437 B (55 words) - 12:29, 4 November 2009
• Linear eddy viscosity models
  ...ulence/Reynolds averaged equations|Reynolds averaging of the Navier-Stokes equations]], are modelled by a ''linear constitutive relationship'' with the ''mean'' ...relationship, check section [[Introduction to turbulence/Reynolds averaged equations]].
  2 KB (267 words) - 18:38, 7 June 2011
• Nonlinear eddy viscosity models
  ...dels for the [[Introduction to turbulence/Reynolds averaged equations|RANS equations]] in which an [[Linear eddy viscosity models|eddy viscosity coefficient]] i
  1 KB (174 words) - 14:40, 4 November 2009
• Sample code for solving Lid-Driven cavity test (Re=1000) - Fortran 90
  *[[Solve_UV.f90 - Solution of the momentum equations for U and V]] *[[TDMA.f90 - Solution of system of linear equations by Thomas method]]
  3 KB (463 words) - 10:04, 20 May 2016
• TDMA.f90 - Solution of system of linear equations by Thomas method
  ! solution of linear system of equations by Thomas algorithm modul
  2 KB (341 words) - 15:00, 19 May 2016
• Calculation on non-orthogonal curvelinear structured grids, finite-volume method
  Using the finite volume method the trnsformed equations can be integrated as follows:
  5 KB (696 words) - 10:24, 20 August 2010
• Introduction to turbulence/Wall bounded turbulent flows
  equations to satisfy this condition, and it can be met even by solutions to to the inviscid Euler’s equations.
  41 KB (7,002 words) - 13:02, 21 March 2012
• Code: Lid driven cavity using pressure free velocity form
  ...ompressible Navier-Stokes equation is composite, the sum of two orthogonal equations, ...nd from the Helmholtz Theorem, showing that these are integro-differential equations, and not particularly convenient for numerical computation.
  11 KB (1,560 words) - 20:12, 15 March 2013
• Code: Lid-driven cavity using pressure-free velocity form (2)
  ...ompressible Navier-Stokes equation is composite, the sum of two orthogonal equations, ...nd from the Helmholtz Theorem, showing that these are integro-differential equations, and not particularly convenient for numerical computation.
  12 KB (1,673 words) - 20:07, 15 March 2013
• HiFlow³
  ...urate solution of a wide range of problems modeled by partial differential equations. Based on object-oriented concepts and the full capabilities of C++ the HiF
  1,010 B (136 words) - 09:04, 30 April 2012
• Code: Thermal cavity using pressure-free velocity form
  ...ompressible Navier-Stokes equation is composite, the sum of two orthogonal equations, ...nd from the Helmholtz Theorem, showing that these are integro-differential equations, and not particularly convenient for numerical computation.
  14 KB (1,998 words) - 21:21, 15 March 2013
• Code: 3D Lid-driven cavity using pressure-free velocity form
  ...ompressible Navier-Stokes equation is composite, the sum of two orthogonal equations, ...nd from the Helmholtz Theorem, showing that these are integro-differential equations, and not particularly convenient for numerical computation.
  24 KB (3,584 words) - 14:08, 10 August 2011
• SIMPLER algorithm - SIMPLE - Revised
  ... and hence calculate <math>\hat{u}, \hat{v}, \hat{w} </math> from momentum equations by substituting the value of the neiboughbor velocities <math>u_{nb}</math> 7. Solve the discretization equations for other <math>\varphi</math> if necessary
  1 KB (184 words) - 12:34, 26 August 2012
• PISO algorithm - Pressure Implicit with Split Operator
  ... PISO is a pressure-velocity calculation procedure for the [[Navier-Stokes equations]] developed originally for non-iterative computation of unsteady compressib 1. Solution of the implicitly discretized fluid flow equations by operator-splitting, Journal of Computational Physics 62 by R. Issa
  4 KB (680 words) - 11:28, 5 May 2015
• SU2
  ...ization''' in mind, but is extensible to treat arbitrary sets of governing equations such as potential flow, electrodynamics, chemically reacting flows, and man
  1 KB (165 words) - 19:05, 19 January 2012
• What is Open Source?
  ...vers that are used to solve complicated continuous functions and governing equations are often based on trial and error experiments and shrewd guesses and an em ...is extensible (and has been extended) to treat arbitrary sets of governing equations such as electrodynamics, chemically reacting flows, and many others." ''- f
  28 KB (4,443 words) - 05:05, 23 December 2017
• Courant–Friedrichs–Lewy condition
  It is an important stability criterion for hyperbolic equations.
  3 KB (526 words) - 11:58, 26 August 2012
• Basic aspects of discretization
  # Discretization of the governing equations over the mesh
  1 KB (219 words) - 04:34, 21 May 2014
• Gresho vortex
  ...ortex problem independent of time for the case of [[inviscid flow]] (Euler equations). Angular velocity <math>u_{\phi}</math> depends only on radius and the cen ...son of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations]. SIAM J. Sci. Comput., 25(3), 995–1017 (23 pages).
  4 KB (529 words) - 09:25, 4 February 2014
• Dune
  ...rics Environment is a modular C++ toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of meth
  2 KB (335 words) - 16:01, 5 April 2014
• CONVERGE FAQ
  solving transport equations = 3.37 seconds (86.50%) In the equations above, <math>d_0 </math> and <math> A_0 </math> are the nominal diameter an
  85 KB (13,492 words) - 15:51, 10 August 2020