# Laplace flow

 User Name Remember Me Password
 Register Blogs Members List Search Today's Posts Mark Forums Read

 December 13, 2013, 06:14 Laplace flow #1 Senior Member     Meimei Wang Join Date: Jul 2012 Posts: 494 Rep Power: 7 Hi, May I ask what is Laplace flow? Is it like an inviscid flow? What is a Laplace flow CFD? __________________ Best regards, Meimei

 December 13, 2013, 12:51 #2 Senior Member   Join Date: Jul 2009 Posts: 456 Rep Power: 14 Steady incompressible, irrotational flow is governed by the Laplace equation. Some references for reading up on this: Fundamentals of Aerodynamics by J. Anderson. https://en.wikipedia.org/wiki/Laplace_equation.

 December 13, 2013, 15:21 #3 Senior Member   cfdnewbie Join Date: Mar 2010 Posts: 557 Rep Power: 11 The Laplace Operator is of particular interest for incompressible Navier-Stokes equations, as the diffusion term can be written in Laplace form. Also, the divergence-free constraint requires the solution of a Poisson equation. So for an incompressible flow solver (and viscosity dominated problems), the solution to the Laplace equation is central. Thus, studying Laplace flow (and the associated solution strategies) is fundamental for incompressible solvers.

December 16, 2013, 04:22
#4
Senior Member

Meimei Wang
Join Date: Jul 2012
Posts: 494
Rep Power: 7
Quote:
 Originally Posted by siw Steady incompressible, irrotational flow is governed by the Laplace equation. Some references for reading up on this: Fundamentals of Aerodynamics by J. Anderson. https://en.wikipedia.org/wiki/Laplace_equation.
I didn't find this concept in the book of Fundamentals of Aerodynamics by J. Anderson. Shall we say it is steady-state incompressible flow?
__________________
Best regards,
Meimei

 December 16, 2013, 11:09 #5 Senior Member   Join Date: Jul 2009 Posts: 456 Rep Power: 14 I've got a copy of the 3rd edition and it's on page 206.

December 16, 2013, 12:26
#6
Senior Member

Meimei Wang
Join Date: Jul 2012
Posts: 494
Rep Power: 7
Quote:
 Originally Posted by siw I've got a copy of the 3rd edition and it's on page 206.
Sorry. I'm using the fifth edition. Could you please tell me it is at which chapter and which section?
__________________
Best regards,
Meimei

 December 16, 2013, 12:52 #7 Senior Member   Join Date: Jul 2009 Posts: 456 Rep Power: 14 Chapter 3: Fundamentals of Inviscid, Incompressible Flow, Section 3.7 Governing Equation for Irrotational, Incompressible Flow: Laplace's Equation.

 December 18, 2013, 23:15 #8 Member   adrin Join Date: Mar 2009 Posts: 45 Rep Power: 8 "Shall we say it is steady-state incompressible flow?" No! As the name suggests, Laplace flow (or more commonly, potential flow) is governed (only) by the Laplace equation. Incompressible flow includes non-linear convection, pressure gradient and viscosity terms (only du/dt=0 in the steady case, where d/dt is partial derivative). I strongly recommend that you open up any introductory book on fluid mechanics. Without understanding very basic fluid mechanics, your attempts at performing CFD will be futile - guaranteed! Adrin

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post avi@lpsc FLUENT 4 April 8, 2012 06:12 CD adapco Group Marketing CD-adapco 3 June 21, 2011 08:33 saii CFX 2 September 18, 2009 08:07 curious ... Main CFD Forum 23 July 21, 2006 07:40 Franck Main CFD Forum 3 September 4, 2003 05:57

All times are GMT -4. The time now is 20:38.

 Contact Us - CFD Online - Top