|
[Sponsors] |
July 12, 2006, 07:58 |
some problem about the integral
|
#1 |
Guest
Posts: n/a
|
Hi:
I have some problem about the integral. if i have a function F(kexi,eta), now, the inverse problem algorithm need the integral of the F over the whold spacedomain, so i expressed it as int(F)dkexi deta but it should expressed as int(F) J dkexi deta where J is the Jacobian coefficient. so why should i include the J in the integral regards |
|
July 12, 2006, 08:54 |
Re: some problem about the integral
|
#2 |
Guest
Posts: n/a
|
the jacobian relates the absolute coordinate system (say x, y, z) to the local coordinate system (say xi, eta, zeta). what you really want to do is to integrate over the absolute space, so your local "dxi, deta, dzeta" vector has to be multiplied by the jacobian matrix to get "dx, dy, dz". absolute and local coordinates may differ in direction (e.g. with a local curvilinear system) and/or may have different scales (normalized local coordinates).
|
|
July 13, 2006, 11:50 |
some problem about the integral
|
#3 |
Guest
Posts: n/a
|
Just because J=J(exi,eta).
|
|
Thread Tools | Search this Thread |
Display Modes | |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
area does not match neighbour by ... % -- possible face ordering problem | St.Pacholak | OpenFOAM | 10 | February 7, 2024 21:50 |
Problem with interFoam; Wave/wiggle alpha1 behavior | JonW | OpenFOAM | 10 | February 4, 2023 07:27 |
Problem in implementing cht | tilek | CFX | 3 | May 8, 2011 08:39 |
Adiabatic and Rotating wall (Convection problem) | ParodDav | CFX | 5 | April 29, 2007 19:13 |
monitor surface integral & report surface integral | Ning | FLUENT | 0 | March 18, 2007 12:51 |