channel.lua File Reference

Functions
function	ComputeNonLinearSolution (u, domainDisc, solver)
function	CreateApproxSpace (dom, discType, p)
function	CreateDomain ()
function	CreateDomainDisc (approxSpace, discType, p)
function	CreateSolver (approxSpace, discType, p)
function	MeasLabel (disc, p)
function	pGrad2d (x, y, t) return -2 *Umax/R
function	pSol2d (x, y, t) return -2 *Umax/R *(x-10) end
function	uGrad2d (x, y, t) return 0
function	uSol2d (x, y, t) return(1.0-y *y) *Umax end
function	velSol2d (x, y, t) return uSol2d(x
function	vGrad2d (x, y, t) return 0
function	vSol2d (x, y, t) return 0.0 end

Variables
parameterBool	convRate
	compute convergence rates;
parameterString	difflength = "raw"
	Diffusion length type.
parameterNumber	dim = 2
	world dimension
function *Umax *y	end
parameterBool	exactjac
	If defined, exact jacobian used;.
parameterString	grid = "grids/channel20Q18x10.ugx"
parameterBool	nolaplace
	If defined, only laplace term used;.
parameterNumber	numPreRefs = 0
	number of prerefinements (parallel)
parameterNumber	numRefs = 0
	number of grid refinements
parameterNumber	order = 1
	order pressure and velocity space
parameterBool	pecletblend
	If defined, Peclet Blend used;.
parameterNumber	porder = order
parameterNumber	R = 100
parameterBool	replot
parameterString	stab = "fields"
	Stabilization type.
parameterBool	stokes
	If defined, only Stokes Eq. computed;.
function	t
parameterNumber	umax = 1
parameterString	upwind = "lps"
	Upwind type.
parameterNumber	vorder = order
	order velocity space
function	y

Function Documentation

ComputeNonLinearSolution()

function ComputeNonLinearSolution	(	u	,
		domainDisc	,
		solver
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :209-213

function ComputeNonLinearSolution(u, domainDisc, solver)
 
  util.rates.static.StdComputeNonLinearSolution(u, domainDisc, solver)
  AdjustMeanValue(u, "p")
end

CreateApproxSpace()

function CreateApproxSpace	(	dom	,
		discType	,
		p
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :77-88

function CreateApproxSpace(dom, discType, p)
 
  local approxSpace = util.ns.CreateApproxSpace(dom, discType, p, p-1)
  
  
  return approxSpace
end

CreateDomain()

function CreateDomain

(

)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :67-75

function CreateDomain()
 
  InitUG(dim, AlgebraType("CPU", 1))
  
  local requiredSubsets = {}
  local dom = util.CreateAndDistributeDomain(gridName, numRefs, numPreRefs, requiredSubsets)
  
  return dom
end

CreateDomainDisc()

function CreateDomainDisc	(	approxSpace	,
		discType	,
		p
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :105-158

CreateSolver()

function CreateSolver	(	approxSpace	,
		discType	,
		p
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :164-207

MeasLabel()

function MeasLabel	(	disc	,
		p
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :261-333

References grid, and y.

pGrad2d()

function pGrad2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :103

function pGrad2d(x, y, t) return -2 * Umax / R, 0  end

pSol2d()

function pSol2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :98

function pSol2d(x, y, t) return -2 * Umax / R * (x-10)      end

uGrad2d()

function uGrad2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :101

function uGrad2d(x, y, t) return 0, -2*Umax*y end

uSol2d()

function uSol2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :96

function uSol2d(x, y, t) return (1.0-y*y) * Umax        end

velSol2d()

function velSol2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :99

function velSol2d(x, y, t) return uSol2d(x,y,t), vSol2d(x,y,t)  end

vGrad2d()

function vGrad2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :102

function vGrad2d(x, y, t) return 0, 0 end

vSol2d()

function vSol2d	(	x	,
		y	,
		t
	)

location: /home/runner/work/docs/docs/ug4/apps/navier_stokes / channel.lua :97

function vSol2d(x, y, t) return 0.0                     end

Variable Documentation

convRate

parameterBool convRate

compute convergence rates;

difflength

parameterString difflength = "raw"

Diffusion length type.

dim

parameterNumber dim = 2

world dimension

end

function end

exactjac

parameterBool exactjac

If defined, exact jacobian used;.

grid

parameterString grid = "grids/channel20Q18x10.ugx"

Referenced by MeasLabel().

nolaplace

parameterBool nolaplace

If defined, only laplace term used;.

numPreRefs

parameterNumber numPreRefs = 0

number of prerefinements (parallel)

numRefs

parameterNumber numRefs = 0

number of grid refinements

order

parameterNumber order = 1

order pressure and velocity space

pecletblend

parameterBool pecletblend

If defined, Peclet Blend used;.

porder

parameterNumber porder = order

R

parameterNumber R = 100

replot

parameterBool replot

stab

parameterString stab = "fields"

Stabilization type.

stokes

parameterBool stokes

If defined, only Stokes Eq. computed;.

t

function t

umax

parameterNumber umax = 1

upwind

parameterString upwind = "lps"

Upwind type.

vorder

parameterNumber vorder = order

order velocity space

y

function y

Referenced by MaxLevelPadding(), and MeasLabel().