What is the difference between POD and SVD?

February 15, 2006, 05:52

I've read some papers about that two subjects while I can not tell the difference between them. Any body can help me?

jiejie · February 15, 2006, 17:32

In POD the fluid variables are written as a linear combination of some global modes..these global modes are computed by taking snapshots of the time history data of the fluid variables, putting them in a matrix, forming a spatial correlation matrix and then computing the eigenvalues/eigenvectors of the corelation matrix. Alternatively you can computed the POD modes by performing an SVD on the matrix of snapshot data. SVD itself is just a way to decompose a matrix.

February 15, 2006, 05:52	What is the difference between POD and SVD?	#1
Greene Guest Posts: n/a	I've read some papers about that two subjects while I can not tell the difference between them. Any body can help me?

February 15, 2006, 17:32	Re: What is the difference between POD and SVD?	#2
Peter Attar Guest Posts: n/a	In POD the fluid variables are written as a linear combination of some global modes..these global modes are computed by taking snapshots of the time history data of the fluid variables, putting them in a matrix, forming a spatial correlation matrix and then computing the eigenvalues/eigenvectors of the corelation matrix. Alternatively you can computed the POD modes by performing an SVD on the matrix of snapshot data. SVD itself is just a way to decompose a matrix. jiejie, a.habibi and Haitham Osman CFD like this.