ic_2dcrvpPressure_for Function

public function ic_2dcrvpPressure_for(me, coord, n) result(pressure)

This function defines the density of the spinning (= co-rotating) vortex pair See the matlab file where the pressure is plot in the ase-testcases/ repo in musubi/crvp/matlab/crvp_velPress_plot.m

As a reference, see [1] R. Fortenbach, 'Mehrskalenmodellierung von aeroakustischen Quellen in schwach kompressiblen Stroemungen,' pp. 1-151, Jul. 2006.

Source: complex velocity potential of both vortices complex coordinates: z = x+i*y Gamma ... circulation

 b = r0*exp(i*omega*t) ... rotation orbit
 w(z,t) = Gamma/(2Pi*i)*ln(z^2-b^2) ... potential function
 dw/dz = Gamma/(2Pi*i)*z/(z^2-b^2)  ... derivative of potential
 u =  Re( dw/dz( z, t=0 )           ... x -velocity
 v = -Im( dw/dz( z, t=0 )           ... y -velocity
 u0 = Gamma/(4Pi*r0)                ... rotation velocity at center of each
                                        vortice
 omega = 2Pi/T0 = u0/r0 = Gamma/(4Pi*ro^2) ... rotation angular frequency
 Ma = u0/cs        ... rotation Mach number
 rho = rho0 - Ma^2*rho0/cs^2*( Re{ -omega*Gamma/Pi * b^2/(z^2-b^2)}
                                                   + (u^2+v^2)/2 )

Unit of the result is in kg/m^3, as the coordinates are given in physical coordinates and hence all other parameters also have to be physical ones

Arguments

TypeIntentOptionalAttributesName
type(ic_2dcrvp_type), intent(in) :: me

global gauss pulse data

real(kind=rk), intent(in) :: coord(n,3)

coordinate of an element

integer, intent(in) :: n

number of return values

Return Value real(kind=rk)(n)

return value which is sent to state variable


Calls

proc~~ic_2dcrvppressure_for~~CallsGraph proc~ic_2dcrvppressure_for ic_2dcrvpPressure_for proc~cutoff_factor cutoff_factor proc~ic_2dcrvppressure_for->proc~cutoff_factor proc~ic_2dcrvpx_for ic_2dcrvpX_for proc~ic_2dcrvppressure_for->proc~ic_2dcrvpx_for proc~ic_2dcrvpy_for ic_2dcrvpY_for proc~ic_2dcrvppressure_for->proc~ic_2dcrvpy_for proc~ic_2dcrvpx_for->proc~cutoff_factor proc~ic_2dcrvpy_for->proc~cutoff_factor

Called by

proc~~ic_2dcrvppressure_for~~CalledByGraph proc~ic_2dcrvppressure_for ic_2dcrvpPressure_for proc~tem_spatial_for_coord tem_spatial_for_coord proc~tem_spatial_for_coord->proc~ic_2dcrvppressure_for proc~tem_spatial_scalar_for_index tem_spatial_scalar_for_index proc~tem_spatial_scalar_for_index->proc~tem_spatial_for_coord interface~tem_spatial_for tem_spatial_for interface~tem_spatial_for->proc~tem_spatial_for_coord interface~tem_spatial_for->proc~tem_spatial_scalar_for_index proc~tem_spatial_vector_storeval tem_spatial_vector_storeVal proc~tem_spatial_vector_storeval->interface~tem_spatial_for proc~tem_spacetime_scalar_for_index tem_spacetime_scalar_for_index proc~tem_spacetime_scalar_for_index->interface~tem_spatial_for proc~tem_spacetime_for_coord tem_spacetime_for_coord proc~tem_spacetime_scalar_for_index->proc~tem_spacetime_for_coord proc~tem_spacetime_vector_for_index tem_spacetime_vector_for_index proc~tem_spacetime_vector_for_index->interface~tem_spatial_for proc~tem_spacetime_vector_for_coord tem_spacetime_vector_for_coord proc~tem_spacetime_vector_for_index->proc~tem_spacetime_vector_for_coord proc~tem_spacetime_for_coord->interface~tem_spatial_for proc~tem_spacetime_for_treeids tem_spacetime_for_treeIDs proc~tem_spacetime_for_treeids->interface~tem_spatial_for proc~tem_spatial_scalar_storeval tem_spatial_scalar_storeVal proc~tem_spatial_scalar_storeval->interface~tem_spatial_for proc~tem_spacetime_vector_for_coord->interface~tem_spatial_for proc~tem_spacetime_vector_for_treeids tem_spacetime_vector_for_treeIDs proc~tem_spacetime_vector_for_treeids->interface~tem_spatial_for interface~tem_spacetime_for tem_spacetime_for interface~tem_spacetime_for->proc~tem_spacetime_scalar_for_index interface~tem_spacetime_for->proc~tem_spacetime_vector_for_index interface~tem_spacetime_for->proc~tem_spacetime_for_coord interface~tem_spacetime_for->proc~tem_spacetime_for_treeids interface~tem_spacetime_for->proc~tem_spacetime_vector_for_coord interface~tem_spacetime_for->proc~tem_spacetime_vector_for_treeids interface~tem_spatial_storeval tem_spatial_storeVal interface~tem_spatial_storeval->proc~tem_spatial_vector_storeval interface~tem_spatial_storeval->proc~tem_spatial_scalar_storeval proc~tem_spacetime_for_stcoord tem_spacetime_for_stcoord proc~tem_spacetime_for_stcoord->proc~tem_spacetime_for_coord

Contents


Variables

TypeVisibilityAttributesNameInitial
complex(kind=rk), private :: z_coord
complex(kind=rk), private :: b_coord
complex(kind=rk), private :: z_compl
complex(kind=rk), private :: b_coordChg
complex(kind=rk), private :: z_Core
real(kind=rk), private :: omega
real(kind=rk), private :: u(1)
real(kind=rk), private :: v(1)
complex(kind=rk), private, parameter:: i_complex =(0._rk, 1._rk)
real(kind=rk), private :: r
real(kind=rk), private :: rC
real(kind=rk), private :: dist2Left
real(kind=rk), private :: dist2Right
real(kind=rk), private :: pMin
real(kind=rk), private :: phiTC
real(kind=rk), private :: uxC
real(kind=rk), private :: uyC
integer, private :: iElem