Poisson solver for irregular domain

Sashankh · March 8, 2013, 20:16

I am trying to solve the Poisson equation in an irregular domain. Does the Fishpack solver work for irregular domains since it is based on the finite-difference method? Is it capable of handling curved boundaries?

The other question I have is - would it be more appropriate to use finite-element method to solve the Poisson equation in an irregular domain? Can you please suggest if there are any available solvers. Thanks.

andy_ · March 10, 2013, 07:13

Finite difference schemes can solve Poisson equations in irregular domains using both boundary conforming and non-boundary conforming schemes.

The choice of schemes (e.g. FEM, spectral, FD, LB,...) tends to follow the numerical properties that are of most importance. In CFD, Poisson equations are usually part of a set of equations and how the other equations are best solved and how their cofficients are related to those in the Poisson equation strongly influences the choice of scheme. If you want to solve a Poisson equation in isolation then FEM is a common choice.

Sashankh · March 11, 2013, 15:13

Hi Andy,

Thanks a lot.

Sai

March 8, 2013, 20:16	Poisson solver for irregular domain	#1
Sashankh New Member Join Date: Mar 2009 Posts: 16 Rep Power: 17	I am trying to solve the Poisson equation in an irregular domain. Does the Fishpack solver work for irregular domains since it is based on the finite-difference method? Is it capable of handling curved boundaries? The other question I have is - would it be more appropriate to use finite-element method to solve the Poisson equation in an irregular domain? Can you please suggest if there are any available solvers. Thanks.

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March 10, 2013, 07:13		#2
andy_ Senior Member andy Join Date: May 2009 Posts: 308 Rep Power: 18	Finite difference schemes can solve Poisson equations in irregular domains using both boundary conforming and non-boundary conforming schemes. The choice of schemes (e.g. FEM, spectral, FD, LB,...) tends to follow the numerical properties that are of most importance. In CFD, Poisson equations are usually part of a set of equations and how the other equations are best solved and how their cofficients are related to those in the Poisson equation strongly influences the choice of scheme. If you want to solve a Poisson equation in isolation then FEM is a common choice.

March 11, 2013, 15:13		#3
Sashankh New Member Join Date: Mar 2009 Posts: 16 Rep Power: 17	Hi Andy, Thanks a lot. Sai