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  • Reference section
    The goal is to provide comprehensive coverage of fluid dynamics, governing equations, turbulence modeling, numerics, discretization schemes, solvers, heat trans
    410 B (43 words) - 07:06, 3 September 2013
  • Codes
    ...y for Finite Element Method. Requires knowledge of weak forms of governing equations || Various types - Gmsh, Abaqus, Metis, Diffpack etc ...allel, finite-volume based Navier–Stokes and convection–diffusion like equations solver -- [https://flubiopetsc.github.io/flubiopetsc/ FLUBIO homepage]|| un
    25 KB (3,558 words) - 08:31, 23 January 2024
  • Fluid dynamics
    ...tion of a viscous, heat conducting fluid. Various simplifications of these equations exist depending on which effects are insignificant. There are several dimen *[[Governing equations | Governing Equations]]
    2 KB (205 words) - 10:17, 13 March 2013
  • Isentropic flow relations
    [[category: Equations]]
    3 KB (519 words) - 18:04, 19 December 2008
  • Governing equations
    *[[Navier-Stokes equations]] *[[Favre averaged Navier-Stokes equations]]
    72 B (6 words) - 04:55, 4 October 2005
  • Favre averaged Navier-Stokes equations
    == Instantaneous equations == To close these equations it is also necessary to specify an equation of state. Assuming a caloricall
    15 KB (2,374 words) - 20:33, 24 November 2005
  • Reynolds number
    ...ds]] in his famous [[pipe flow experiments]]. Consider the [[Navier-Stokes equations|momentum equation]] which is given below
    3 KB (450 words) - 09:15, 3 January 2012
  • Osborne Reynolds
    ...of turbulent flow, for example using the [[Reynolds averaged Navier-Stokes equations]].
    1 KB (219 words) - 14:15, 13 September 2005
  • Navier-Stokes equations
    ...Usually, the term Navier-Stokes equations is used to refer to all of these equations. ==Equations==
    29 KB (4,606 words) - 18:17, 28 August 2012
  • Gerris Flow Solver
    ...pen source finite volume code for the solution of the partial differential equations describing fluid flow.
    425 B (61 words) - 13:17, 14 February 2008
  • Vistur.f
    b) to define '''vist''' from user defined equations
    289 B (47 words) - 23:06, 6 September 2005
  • Introduction to turbulence
    == [[Introduction to turbulence/Reynolds averaged equations|Reynolds averaged equations and the turbulence closure problem]] == ...Reynolds averaged equations#Equations governing instantaneous fluid motion|Equations governing instantaneous fluid motion]]
    8 KB (948 words) - 12:34, 15 March 2012
  • Introduction to turbulence/Statistical analysis
    ... point or time how it will behave at another (at least without solving the equations). Moreover, a slight change in the intial or boundary conditions may cause ... of this chapter will be all we need to begin a discussion of the averaged equations of motion in <font color="orange">page ???</font>
    4 KB (544 words) - 18:06, 25 June 2007
  • Reynolds stress model (RSM)
    == Equations == ...esses, <math>\rho\overline{u'_iu'_j}</math> , using differential transport equations. The individual Reynolds stresses are then used to obtain closure of the Re
    8 KB (1,203 words) - 01:47, 18 April 2017
  • Near-wall treatment for k-omega models
    ...enter takes advantage of the fact that the solution to <math>\omega</math> equations is known for both viscous and log layer
    4 KB (581 words) - 10:40, 31 March 2021
  • Favre Averaged Navier-Stokes Equations
    #redirect [[Favre averaged Navier-Stokes equations]]
    52 B (5 words) - 10:29, 7 September 2005
  • Favre averaging
    Favre averaging can be used to derive the [[Favre averaged Navier-Stokes equations]].
    1 KB (209 words) - 21:48, 26 August 2013
  • Governing Equations
    #redirect [[Governing equations]]
    33 B (3 words) - 12:21, 7 September 2005
  • Direct numerical simulation (DNS)
    ... a simulation in computational fluid dynamics in which the [[Navier-Stokes equations]] are numerically solved without any [[turbulence]] model. This means that ...LES) and models for methods that solve the Reynolds-averaged Navier-Stokes equations (RANS). This is done by means of "a priori" tests, in which the input data
    4 KB (672 words) - 13:52, 25 July 2012
  • Fluent FAQ
    ...for mass, momentum and energy) simultaneously instead of sequentially (the equations are segregated from one another). You should use the coupled solver when th
    39 KB (6,386 words) - 16:48, 26 April 2013
  • Best practice guidelines for turbomachinery CFD
    ...tions, or require user coding to implement the correct source terms in the equations. Please contact your software distributor if your code does not have the qu ... Turbomachinery Flows – Part II – Rotor/Stator Interaction using Euler Equations|rest=AGARD Report CP-571}}
    41 KB (6,252 words) - 08:46, 4 March 2023
  • Page name test
    ...ent, 1999) of turbulence. Thus, the RANS consists of partial differential equations that provide local information to the model, as well as accuracy, and a rat ...ion is a set of additional equations which, when solved with the mean-flow equations (RANS), permits the computation of the appropriate correlations (fluctuatin
    2 KB (352 words) - 21:51, 18 May 2006
  • Baldwin-Lomax model
    == Equations == ...omax model the turbulence energy, <math>k</math>, present in the governing equations, is set to zero.
    8 KB (1,262 words) - 09:15, 3 January 2012
  • Two equation turbulence models
    By definition, two equation models include two extra transport equations to represent the turbulent properties of the flow. This allows a two equati ...sistency with the turbulent boundary layer behaviour. This often makes the equations stiff and further increases computation time.
    11 KB (1,667 words) - 20:52, 25 October 2016
  • Reynolds averaged equations
    ==The Reynolds averaged equations and the turbulence closure problem== === The equations governing the instantaneous fluid motions ===
    17 KB (2,883 words) - 22:16, 14 May 2006
  • Introduction to turbulence/Nature of turbulence
    ...ith the equations used to describe the mechanics of turbulence. It is only equations which can give us the hope of predicting turbulence. But your study of this ...randomness, or just the solutions. And if the latter, was it something the equations did to them, or a consequence of the initial conditions?
    16 KB (2,597 words) - 21:12, 9 November 2016
  • Ansys FAQ
    ...t to outlet. As a result, before judging the residual convergence of these equations, make sure their imbalances are close to zero. Most standard engineering equations we are familiar with use some "bulk temperature" in place of the Wall Adjac
    27 KB (4,461 words) - 02:03, 18 August 2018
  • Numerical methods
    ## [[Classification of govering equations]] ### [[Integral form of govering equations]]
    4 KB (399 words) - 12:42, 26 August 2012
  • Fluid
    ... described by a set of partial differential equations, the [[Navier-Stokes equations]].
    1 KB (215 words) - 23:53, 13 September 2005
  • Incompressible flow
    == Governing Equations == The [[Navier-Stokes equations]] for incompressible flow are
    8 KB (1,427 words) - 18:57, 19 August 2013
  • Laplacian
    ...e effects (except in the case of [[wave equation]]). Some of the important equations are Solutions of these equations are very smooth and in most cases are infinitely differentiable (when the a
    3 KB (414 words) - 08:19, 12 April 2007
  • Potential flow
    == Governing equations ==
    800 B (127 words) - 13:06, 16 March 2016
  • Inviscid flow
    ==Governing Equations== ...s'', are obtained by discarding the viscous terms from the [[Navier-Stokes equations]]
    2 KB (323 words) - 07:46, 20 August 2013
  • Stream function
    Comparing the two equations, we have
    1 KB (192 words) - 11:39, 12 September 2005
  • Introduction to CFD
    ...Numerical methods | numerically]]. The complex set of partial differential equations are solved on in geometrical domain divided into small volumes, commonly kn
    2 KB (401 words) - 06:50, 8 January 2013
  • Adams methods
    ...merical integration]] of initial value problems in [[Ordinary Differential Equations]] (ODE's). [[Multi-step methods]] benefit from the fact that the computatio
    1,023 B (171 words) - 18:53, 13 August 2007
  • Lid-driven cavity problem
    ...82|title=High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method|rest=Journal of Computational Physics, Vol. 48, pp.
    3 KB (546 words) - 12:44, 9 April 2013
  • Introduction to numerical methods
    ...ons. In turbulence modeling for example, one is interested in devising new equations for the extra unknowns that resulted from the averaging process.
    1 KB (222 words) - 21:02, 24 May 2007
  • Large eddy simulation (LES)
    ...ressible flows. For compressible flows, see [[Favre averaged Navier-Stokes equations]]. The filtered equations are developed from the incompressible [[Navier-Stokes equations]] of motion:
    6 KB (882 words) - 21:50, 24 June 2013
  • Finite volume
    ...lume. The next step is to integrate the differential form of the governing equations (very similar to the control volume approach) over each control volume. Int FVM is also preferred while solving partial differential equations containing discontinuous coefficients.
    4 KB (643 words) - 09:15, 3 January 2012
  • RNG k-epsilon model
    ...) methods by [[#References|Yakhot et al]] to renormalise the Navier-Stokes equations, to account for the effects of smaller scales of motion. In the standard k- == Transport Equations==
    3 KB (480 words) - 02:44, 5 June 2010
  • Standard k-epsilon model
    == Transport equations for standard k-epsilon model ==
    3 KB (401 words) - 20:15, 16 December 2014
  • Approximation Schemes for convective term
    ...ed the discretization schemes of the convective terms in the finite-volume equations. The accuracy, numerical stability and the boundness of the solution depend == Basic Equations of CFD ==
    30 KB (4,389 words) - 06:47, 16 September 2005
  • Approximation Schemes
    ...ed the discretization schemes of the convective terms in the finite-volume equations. The accuracy, numerical stability and the boundness of the solution depend == Basic Equations of CFD ==
    16 KB (2,286 words) - 18:01, 14 September 2005
  • Gauss-Seidel method
    The '''Gauss-Seidel method''' is a technique used to solve a linear system of equations. The method is named after the German mathematician [http://en.wikipedia.or We seek the solution to a set of linear equations: <br>
    8 KB (1,113 words) - 09:15, 3 January 2012
  • Jacobi method
    ...ithm in linear algebra for determining the solutions of a system of linear equations with largest absolute values in each row and column dominated by the diagon We seek the solution to set of linear equations: <br>
    6 KB (825 words) - 09:15, 3 January 2012
  • Successive over-relaxation method - SOR
    We seek the solution to set of linear equations <br>
    2 KB (364 words) - 02:08, 19 December 2005
  • Iterative methods
    We seek the solution to the linear system of equations <br>
    2 KB (262 words) - 14:17, 19 December 2008
  • 2-D vortex in isentropic flow
    This is one of the few exact solutions for the compressible Euler equations. The test case involves [[convection]] of an [[isentropic]] [[vortex]] in [
    2 KB (242 words) - 04:00, 21 October 2014
  • Viscous diffusion of multiple vortex system
    continuity and momentum equations in dimension-less form in the domain <math>0
    575 B (107 words) - 07:40, 12 April 2007

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