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• Conjugate gradient method of Golub and van Loan
  == Conjugate gradient method == Conjugate gradient method could be summarized as follows <br>
  1 KB (219 words) - 12:39, 19 December 2008
• Biconjugate gradient stabilized method
  == Biconjugate gradient stabilized method == Biconjugate gradient stabilized method could be summarized as follows <br>
  2 KB (281 words) - 17:01, 31 October 2016
• Biconjugate gradient method
  == Biconjugate gradient method == Biconjugate gradient method could be summarized as follows <br>
  2 KB (272 words) - 15:04, 27 July 2006
• Conjugate gradient methods
  The unpreconditioned conjugate gradient method constructs the '''i'''th iterate <math>x^{(k)}</math> as an element * [http://www.math-linux.com/spip.php?article54 Conjugate Gradient Method] by N. Soualem.
  1 KB (170 words) - 17:49, 26 August 2006
• Gradient computation
  ...equal to the volume integral (over the volume bound by the surface) of the gradient of the scalar function. <br> ...correctly approximated in order to yield a correct computation of the cell gradient. As the FVM uses a cell centered formulation, values at the faces are not r
  5 KB (851 words) - 13:04, 7 June 2011
• Finite volume method of gradient calculation
  #redirect [[Gradient computation]]
  34 B (3 words) - 03:10, 7 December 2005
• Congugate gradient methods
  #redirect [[Conjugate gradient methods]]
  40 B (4 words) - 21:42, 17 December 2005
• Gradient-based methods
  0 B (0 words) - 01:33, 6 January 2012

Page text matches

• Favre averaged Navier-Stokes equations
  ...ath>, corresponding to turbulent transport of heat, can be modeled using a gradient approximation for the turbulent heat-flux: ...most flows below the hyper-sonic regime. A better approximation might be a gradient expression of the form:
  15 KB (2,374 words) - 20:33, 24 November 2005
• Navier-Stokes equations
  ...tress needed to deform the fluid was linearly proportional to the velocity gradient:
  29 KB (4,606 words) - 18:17, 28 August 2012
• Fluent FAQ
  | APG || adverse pressure gradient
  39 KB (6,386 words) - 16:48, 26 April 2013
• Best practice guidelines for turbomachinery CFD
  ...atural Transition of Boundary Layers - the Effects of Turbulence, Pressure Gradient, and Flow History|rest=Journal of Mech. Eng. Science, vol. 22, no. 5, pp. 2
  41 KB (6,252 words) - 08:46, 4 March 2023
• Page name test
  ...ctuating velocities, could be replaced by the product of the mean velocity gradient and a quantity termed the turbulent viscosity, (mu-t), (Garde, 1994). The
  2 KB (352 words) - 21:51, 18 May 2006
• Baldwin-Lomax model
  ...correction mentioned above, which attempts to account for adverse pressure gradient effects, increases the problem with too large separations.
  8 KB (1,262 words) - 09:15, 3 January 2012
• Two equation turbulence models
  ...humb|320px|HRN (left) vs LRN(right). HRN uses log law in order to estimate gradient in the cell.]] ...s). The second approach does not attempt to reproduce the correct velocity gradient. Instead, turbulent viscosity is modified in such a way as to guarantee the
  11 KB (1,667 words) - 20:52, 25 October 2016
• Numerical methods
  ### [[Gradient computation]] ### [[Conjugate gradient methods]]
  4 KB (399 words) - 12:42, 26 August 2012
• Incompressible flow
  ..., <math>U</math> is the characteristic velocity, the magnitude of velocity gradient is <math>U/L</math>. The physical meaning of the incompressible flow is
  8 KB (1,427 words) - 18:57, 19 August 2013
• Laplacian
  ...is also denoted as <math>\nabla^2</math> since it is the divergence of the gradient operator
  3 KB (414 words) - 08:19, 12 April 2007
• Potential flow
  it implies that the velocity is the gradient of a scalar field called the velocity potential, and usually denoted as <ma
  800 B (127 words) - 13:06, 16 March 2016
• Large eddy simulation (LES)
  ...ear=1999|title=Subgrid-scale modelling based on the square of the velocity gradient tensor|rest=Flow, Turbulence and Combustion, 62: pp- 183-200, 1999}}
  6 KB (882 words) - 21:50, 24 June 2013
• Diffusion term
  A first approach is to use a simple expression for estimating the gradient of a scalar normal to the face. <br> In non-orthogonal grids, the gradient direction that will yield an expression involving the values at the neighbo
  6 KB (1,032 words) - 07:32, 22 January 2010
• Conjugate gradient method of Golub and van Loan
  == Conjugate gradient method == Conjugate gradient method could be summarized as follows <br>
  1 KB (219 words) - 12:39, 19 December 2008
• Biconjugate gradient stabilized method
  == Biconjugate gradient stabilized method == Biconjugate gradient stabilized method could be summarized as follows <br>
  2 KB (281 words) - 17:01, 31 October 2016
• Biconjugate gradient method
  == Biconjugate gradient method == Biconjugate gradient method could be summarized as follows <br>
  2 KB (272 words) - 15:04, 27 July 2006
• Approximation Schemes for convective term
  ...boldsymbol{B \left( r \right)}</math> is termed a limiter function and the gradient ration <math>\boldsymbol{r}</math> is defined as:
  30 KB (4,389 words) - 06:47, 16 September 2005
• Approximation Schemes
  ...boldsymbol{B \left( r \right)}</math> is termed a limiter function and the gradient ration <math>\boldsymbol{r}</math> is defined as:
  16 KB (2,286 words) - 18:01, 14 September 2005
• Multigrid methods
  ... the convergence rate is a function of the error field frequency, i.e. the gradient of the error from node to node. If the error is distributed in a high frequ ...estion for realistic problems and since the solvers that rely on conjugate-gradient methods have robustness problems associated with them, the methods of choic
  5 KB (746 words) - 09:49, 12 July 2019
• Iterative methods
  #Conjugate Gradient Method (CG) #BiConjugate Gradient (BiCG)
  2 KB (262 words) - 14:17, 19 December 2008
• 2-D vortex in isentropic flow
  [[entropy]] gradient in the [[flow-field]]. The perturbations in the velocity are given by:
  2 KB (242 words) - 04:00, 21 October 2014
• Overset grids
  ...l not be in the proper range. This can be used to construct a Newton-like gradient search technique. For more details, the reader is referred to the chapter
  7 KB (1,042 words) - 14:13, 17 August 2021
• Conjugate gradient methods
  The unpreconditioned conjugate gradient method constructs the '''i'''th iterate <math>x^{(k)}</math> as an element * [http://www.math-linux.com/spip.php?article54 Conjugate Gradient Method] by N. Soualem.
  1 KB (170 words) - 17:49, 26 August 2006
• Combustion
  ...h>. Moreover, the work of pressure is considered as negligible because the gradient of pressure is negligible (low-Mach number approximation is indeed also nam ...cause the diffusion of the species is directly dependent on the unbalance (gradient) of their distribution. A sharp transition from fuel to oxidizer creates in
  156 KB (25,897 words) - 22:14, 17 March 2011
• Approximation Schemes for convective term - structured grids - Summary of Discretizations Schemes and examples
  ...false diffusion on flow that is not parallel to the grid, whilst the sharp gradient should generate oscillations in the solutions generated using the second an
  9 KB (1,327 words) - 05:56, 21 April 2012
• Approximation Schemes for convective term - structured grids - Common
  ...mbol{\varphi \left( r \right)}</math> is termed a limiter function and the gradient ratio <math>\boldsymbol{r}</math> is defined as:
  28 KB (4,096 words) - 13:11, 24 October 2016
• Rayleigh number
  <math>\Gamma =</math> background [[temperature]] [[gradient]],
  508 B (70 words) - 03:40, 21 September 2005
• Richardson number
  ...he buoyancy frequency to the background velocity gradient is known as the (gradient) Richardson number.
  754 B (108 words) - 15:37, 16 January 2008
• Gradient computation
  ...equal to the volume integral (over the volume bound by the surface) of the gradient of the scalar function. <br> ...correctly approximated in order to yield a correct computation of the cell gradient. As the FVM uses a cell centered formulation, values at the faces are not r
  5 KB (851 words) - 13:04, 7 June 2011
• SIMPLE algorithm
  ... velocity field is obtained by solving the momentum equation. The pressure gradient term is calculated using the pressure distribution from the previous iterat ...p^' }}{{\vec a_P^v }} </math> ; where <math> {\nabla p^' } </math> is the gradient of the pressure corrections, <math> {\vec a_P^v } </math> is the vector of
  3 KB (442 words) - 10:42, 11 March 2016
• Sand box Approximation Schemes
  ... same mathematical form, and both have the effect of limiting the solution gradient near shocks or discontinuities. In general, the term flux limiter is used w ...when the limiter is equal to zero (sharp gradient, opposite slopes or zero gradient), the flux is represented by a ''low resolution scheme''. Similarly, when t
  26 KB (3,687 words) - 20:19, 7 November 2011
• Mesh adaptation
  ... the issue is very severe for shocks, the smaller the cell, the higher the gradient and the indicator would keep on picking the region, unless a threshold valu ...via the error indicators is often undertaken by using either the 'solution gradient' or 'soultion curvature'. Hence the refinement variable coupled with the re
  8 KB (1,236 words) - 09:43, 17 May 2012
• Johnson-King model
  ...solve only for turbulent boundary layer flows with strong adverse pressure gradient.
  735 B (103 words) - 05:48, 17 January 2012
• Best practice guidelines for heat transfer simulations
  ...id (say both are at the different temperature), there exists a temperature gradient between these two media and results in the energy transfer. If this fluid m
  2 KB (329 words) - 02:21, 7 April 2011
• Subgrid variance
  ...{sgs}''^2} </math> is a subgrid variance flux and is often modeled using a gradient approach with turbulent diffusivity.
  1 KB (242 words) - 11:19, 11 January 2006
• CHAM FAQ
  ...Stone's strongly implicit solver, but the option exists to use a Conjugate Gradient Residuals solver for each equation. ...t of solid obstructions enters the momentum equations through the pressure gradient, which is a built-in source rather than an externally imposed one - it does
  37 KB (5,717 words) - 12:46, 9 December 2019
• Heat transfer
  ...ed '''''heat'''''. The overall driving force for this heat flow is thermal gradient. Conduction heat transfer through a substance is because of a temperature ''gradient''. The ''rate'' of heat transfer by conduction between two regions of a sub
  6 KB (990 words) - 03:23, 17 February 2009
• Source term linearization
  ...ath>\left ( \frac {\partial S}{\partial \phi} \right ) ^* </math> is the gradient of S evaluated at <math>\phi_P^*</math>. <br>
  3 KB (441 words) - 10:25, 22 February 2007
• Scalar dissipation
  Under RANS assumptions gradient of the scalar fluctuations are much larger than gradients of the means,
  2 KB (246 words) - 16:41, 12 April 2007
• Skin friction coefficient
  ...references) the formula describing Cf over a flat plate , without pressure gradient, is Cf=0.0725*Re^(-1/5) and it is valid between 5x10^5<Re<10^7 with the as
  4 KB (516 words) - 12:14, 14 January 2016
• Introduction to turbulence/Reynolds averaged equations
  ...also like those in the mean motion, and represent the fluctuating pressure gradient and the fluctuating viscous stresses. The third term on the right-hand is i ...es, but note for now that simple gradient closure models never work unless gradient production dominates. This rules out many flows involving buoyancy, and als
  45 KB (7,578 words) - 08:35, 21 August 2013
• Introduction to turbulence/Turbulence kinetic energy
  * Rate of production of turbulence kinetic energy from the mean flow(gradient): ...thought of as the working of the Reynolds stress against the mean velocity gradient of the flow, exactly as the viscous stresses resist deformation by the inst
  47 KB (7,664 words) - 12:47, 13 December 2013
• J-FLO
  ...alculations proportional to the number of design variables to estimate the gradient. The computational costs become prohibitive as the number of design variabl ...lution cost is comparable to that of solving the flow equations. Thus, the gradient can be determined with roughly the computational costs of two flow solution
  2 KB (340 words) - 15:00, 15 December 2006
• CFD++
  ...ll-function treatment that models the effects of compressibility, pressure gradient and heat transfer. A single equation LES model and advanced hybrid LES/RANS
  3 KB (380 words) - 01:38, 17 January 2007
• PHOENICS
  ...Stone's strongly implicit solver, but the option exists to use a Conjugate Gradient Residuals solver for each equation.
  11 KB (1,641 words) - 11:18, 5 July 2013
• Cfd simulation of vortex shedding
  ...uation|continuity equation]] using pressure as a corrective quantity whose gradient in either the x or y direction is added to the velocity in the respective d
  4 KB (584 words) - 23:32, 29 October 2008
• Shape Design Optimization
  [[Direct design]] can be further classified into [[gradient-based methods]] and [[global search methods]]. Gradient-based methods will reach a local optimum design, while global search method
  3 KB (398 words) - 14:55, 7 January 2009
• Introduction to turbulence/Homogeneous turbulence
  ...generated. If this turbulence is homogeneous and there is no mean velocity gradient to generate new turbulence, the kinetic energy equation reduces to simply: The derivation of this equation begins by taking the gradient of the equation for the fluctuating velocity, then interchanging the order
  10 KB (1,751 words) - 13:03, 21 March 2012
• Introduction to turbulence/Free turbulent shear flows
  ...the gravitational force which is the principal contributor to the pressure gradient. As a consequence the turbulent buoyant plume develops much more quickly th ...th> is <math> U_{0}</math> On the other hand, an estimate for the velocity gradient across the flow of <math> U_{0}/\delta </math> would be much too big, again
  67 KB (11,204 words) - 13:42, 19 April 2016
• Solve UV.f90 - Solution of the momentum equations for U and V
  !----------------------------- pressure gradient ------------------------
  6 KB (932 words) - 14:58, 19 May 2016
• Solve Pressure Correction.f90 - Solution of pressure-correction equation and correction of U,V and P
  ! this is the gradient of pressure at east location usint central difference
  6 KB (872 words) - 15:03, 19 May 2016
• Introduction to turbulence/Wall bounded turbulent flows
  ...ndtl’s boundary layer, and the length scale characterizing the necessary gradient in velocity became known as the boundary layer “thickness”. ...eam pressure gradient. Hence, for very large Reynolds number, the pressure gradient across the boundary layer equation is very small. Thus the pressure ''in th
  41 KB (7,002 words) - 13:02, 21 March 2012
• Code: Lid driven cavity using pressure free velocity form
  ...ltz Theorem. Further, to determine fluid flow in the absence of a pressure gradient, one can specify the difference of stream function values across a 2D chann ... These elements have derivatives as components of the gradient. In 2D, the gradient and curl of a scalar are clearly orthogonal, given by the expressions,
  11 KB (1,560 words) - 20:12, 15 March 2013
• Code: Lid-driven cavity using pressure-free velocity form (2)
  ...ltz Theorem. Further, to determine fluid flow in the absence of a pressure gradient, one can specify the difference of stream function values across a 2D chann ... These elements have derivatives as components of the gradient. In 2D, the gradient and curl of a scalar are clearly orthogonal, given by the expressions,
  12 KB (1,673 words) - 20:07, 15 March 2013
• PFV4 get pressure
  % Simple cubic gradient element "mass" matrix for m=1:npn % Loop over corner nodes, GBL is gradient of bilinear fn
  11 KB (1,613 words) - 19:29, 15 March 2013
• PFV diffusion matrix 2
  % Transposed gradient (derivatives) of scalar bilinear mapping function.
  5 KB (766 words) - 18:32, 4 July 2011
• PFV convection matrix 2
  % Transposed gradient (derivatives) of scalar bilinear mapping function for straight-sised elemen
  7 KB (1,099 words) - 18:38, 4 July 2011
• PFV get pressure
  % Simple cubic gradient element "mass" matrix for m=1:npn % Loop over corner nodes, GBL is gradient of bilinear fn
  11 KB (1,623 words) - 16:10, 15 March 2013
• PFV get pressure 2
  % Simple cubic gradient element "mass" matrix J=(Xe*GBL(nn(:,:),nn(m,1),nn(m,2)))'; % GBL is gradient of bilinear function
  19 KB (3,020 words) - 18:42, 4 July 2011
• Code: Thermal cavity using pressure-free velocity form
  ...ltz Theorem. Further, to determine fluid flow in the absence of a pressure gradient, one can specify the difference of stream function values across a 2D chann ... These elements have derivatives as components of the gradient. In 2D, the gradient and curl of a scalar are clearly orthogonal, given by the expressions,
  14 KB (1,998 words) - 21:21, 15 March 2013
• PFV Tdiffusion matrix 2
  % Simple-cubic Hermite basis, gradient is tangential-conforming, irrotational, J=(Xe*GBL(nn(:,:),nn(m,1),nn(m,2)))'; % Gradient of bilinear function/element
  4 KB (593 words) - 16:08, 7 July 2011
• PFV Tconvection matrix 2
  %GR gradient array of scalar simple-cubic basis functions. % Transposed gradient (derivatives) of scalar bilinear mapping function.
  7 KB (1,061 words) - 16:13, 7 July 2011
• PFV Buoyancy matrix 2
  % Transposed gradient (derivatives) of scalar bilinear mapping function.
  6 KB (874 words) - 16:20, 7 July 2011
• Code: 3D Lid-driven cavity using pressure-free velocity form
  ...ltz Theorem. Further, to determine fluid flow in the absence of a pressure gradient, one can specify the difference of stream function values across a 2D chann
  24 KB (3,584 words) - 14:08, 10 August 2011
• PFV 3D diffusion matrix
  % Transposed gradient (derivatives) of scalar trilinear mapping function.
  5 KB (815 words) - 12:17, 20 July 2011
• PFV 3D convection matrix
  % Transposed gradient (derivatives) of scalar trilinear mapping function.
  5 KB (765 words) - 12:20, 20 July 2011
• PFVT thermal program script
  % Initial stream function and velocity, temperature & gradient fields
  21 KB (3,032 words) - 20:48, 15 March 2013
• PFVT Tdiffusion matrix
  J=(Xe*et.Gm(nn(:,:),nn(m,1),nn(m,2)))'; % Gradient of bilinear function/element J=(Xe*et.Gm(nn(:,:),nn(m,1),nn(m,2)))'; % Gradient of bilinear fn
  3 KB (525 words) - 21:02, 15 March 2013
• PFVT get pressure
  % Simple cubic gradient element "mass" matrix for m=1:npn % Loop over corner nodes, GBL is gradient of bilinear fn
  11 KB (1,613 words) - 21:10, 15 March 2013
• Structural modeling
  *{{reference-paper|author=H. Lu and F. Porte-Agel|year=2010|title=A modulated gradient model for large-eddy simulation: application to a neutral atmospheric bound
  3 KB (421 words) - 20:10, 27 June 2013
• Gresho vortex
  .../math> depends only on radius and the centrifugal force is balanced by the gradient of the pressure <math>p</math>.
  4 KB (529 words) - 09:25, 4 February 2014
• CONVERGE FAQ
  ...Centered Scheme for Conservation Laws). The MUSCL_CVG option includes a 3D gradient-based slope limiter (the minmod method of Barth and Jespersen or the venkat
  85 KB (13,492 words) - 15:51, 10 August 2020