ply_leg_diff_module
This module contains the subroutine for differentiation of the legendre Polynomials in 1D, 2D and 3D.
do IDeg1 = 1, mPd+1 do IDeg2 = 1, mPd=1 !! iDeg2 = mod(iDeg-1,mpd+1)+1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. \n First index is the number of modal coefficients. \n Second index is the number of velocity components \n Third index is the number of partial derivatives, i.e. 3 in 3D. |
||
| integer, | intent(in) | :: | mPd | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
||
| integer, | intent(in) | :: | iDir | The direction to differentiate |
||
| integer, | optional | :: | dirVec(3) | The direction vector for the rotation |
Compute the derivative in X direction for 3D Legendre polynomial.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. * First index is the number of modal coefficients. * Second index is the number of variable components |
||
| integer, | intent(in) | :: | mPd | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
Compute the derivative in Y direction for 3D Legendre polynomial.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. * First index is the number of modal coefficients. * Second index is the number of variable components |
||
| integer, | intent(in) | :: | mPd | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
Compute the derivative in Y direction for 3D Legendre polynomial.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. * First index is the number of modal coefficients. * Second index is the number of variable components |
||
| integer, | intent(in) | :: | mPd | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. \n First index is the number of modal coefficients. \n Second index is the number of velocity components \n Third index is the number of partial derivatives, i.e. 3 in 3D. |
||
| integer, | intent(in) | :: | mPd | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
||
| integer, | intent(in) | :: | iDir | The direction to differentiate |
||
| integer, | optional | :: | dirVec(2) | The direction vector for the rotation |
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. \n First index is the number of modal coefficients. \n Second index is the number of velocity components \n Third index is the number of partial derivatives, i.e. 3 in 3D. |
||
| integer, | intent(in) | :: | maxPolyDegree | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. \n First index is the number of modal coefficients. \n Second index is the number of velocity components \n Third index is the number of partial derivatives, i.e. 3 in 3D. |
||
| integer, | intent(in) | :: | maxPolyDegree | |||
| integer, | intent(in) | :: | nVars | The number of varibales to differentiate |
||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=rk), | intent(in) | :: | legCoeffs(:,:) | |||
| real(kind=rk), | intent(inout) | :: | legCoeffsDiff(:,:) | Modal expansion of the derivative of legCoeffs in terms of Legendre modal coefficients. \n First index is the number of modal coefficients. \n Second index is the number of var components \n |
||
| integer, | intent(in) | :: | maxPolyDegree | |||
| real(kind=rk), | intent(in) | :: | elemLength | The physical length of the element to build the derivatives for. |