# Finite volumes vs. finite elements: applications

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

 January 19, 2007, 06:08 Finite volumes vs. finite elements: applications #1 Lionel S. Guest   Posts: n/a Hi all, I heard that finite elements is a pretty less dissipative method. This means that numerical computations makes less artificial viscosity than finite volumes. Since, I suppose that finite volumes are used in fluids because it can happen that problems are not perfectly posed, and artificial viscosity makes it converge easier than finite elements, but the solution may be less accruate for similar meshes. That could be the reason why most structure simulation softwares works with finite elements: the problems are well posed because there is less boundary conditions types (no pressure-velocity coupling for example) and then we can get high precision solutions with no problem. What do you think about it ? Kindest regards Lionel

 January 19, 2007, 08:24 Re: Finite volumes vs. finite elements: applicatio #2 ganesh Guest   Posts: n/a Dear Lionel, I am not proficient in finite element method, but to my understanding the foremost reason why FVM is preferred for fluids is the conservation property bulit into the FV formulation, which lacks in the FEM. It therfore necessiates that the conservation be satisfied when FEM is used in the fluids framework. It looks to me that the primary reason for the choice of FV for fluids and FE for structures is more historic, with either being formulated to solve problems specifically governed by the constituive equations pertaining to the field. Regards, Ganesh

 January 19, 2007, 09:31 Re: Finite volumes vs. finite elements: applicatio #3 myron Guest   Posts: n/a There are definitely commercially-available CFD codes using the FEM method rather than FV. High accuracy and conservation, too.

 January 19, 2007, 09:37 Re: Finite volumes vs. finite elements: applicatio #4 Renato. Guest   Posts: n/a I'd say that FVM is preferred for CFD because it's computationally cheaper. At least when compared to naive FEM implementations. FEM comes from structural analysis where the equilibrium of the solution must be satisfied nodally, it's almost the same what is claimed by Finite Volumes Methods as local conservation through flux balances (I should say that conversely to Ganesh, I'm not proficient in FVM). There are some recent FEM papers with deep discussions about such historical war between FVM and FEM regarding local conservation. Regards Renato.

 January 19, 2007, 13:07 Re: Finite volumes vs. finite elements: applicatio #5 Mubassh Guest   Posts: n/a Hello, Adding to the earlier conservation point, FEM-suite is not good for Hyperbolic or End Parabolic type of equations[High speed Flows]. The weight or shape functions are the main simulation or solution deciding factor and it looks like this(FEM) approach is good for elliptic(dissipate to all-->distance physics) type of equations rather than hyperbolic. You can get more clear picture from FEM for Fluid Dynamics vol 3 by Zienkiewiez and Taylor. you can get this e-book from www.esnips.com

 January 19, 2007, 17:15 Re: Finite volumes vs. finite elements: applicatio #6 Lionel S. Guest   Posts: n/a Ok thanks you for all your ideas, I didn't know that FEM could make problems in the case of hyperbolic equations. All other remarks are welcome...

 January 19, 2007, 20:30 Re: Finite volumes vs. finite elements: applicatio #7 Renato. Guest   Posts: n/a Well, there's a bunch of FEM solvers to high speed flows and other related hyperbolic problems. In fact, FEM formulations can be improved with stabilizations and shock capturing terms, not to mention the newest techniques such as Discontinuous Galerking and Variationa Multiscale which have opened a broad research area in the family of FEM solvers. []'s Renato.

 January 20, 2007, 06:31 Re: Finite volumes vs. finite elements: applicatio #8 rkkk Guest   Posts: n/a Is this means FVM is going to be on decline onwards due to more and more people opting for FEM

 January 22, 2007, 06:53 Re: Finite volumes vs. finite elements: applicatio #9 Ruben Guest   Posts: n/a I think (as Renato) that the main reason is the computational cost. Using Discontinuous Galerkin formulation the conservation is satified locally (element by element) but the computational cost is still higher than using finite volumes. About the problems of FEM formulations with hyperbolic problems, I recommend reading J. Donea and A. Huerta "Finite Element Methods for Fluids problems" (2002) Ruben

 January 22, 2007, 09:36 Re: Finite volumes vs. finite elements: applicatio #10 myron Guest   Posts: n/a AcuSolve uses exactly these formulations - Discontinous Gerlerkin. Very fast, very parallel, very stable, very good at conservation.

 January 22, 2007, 11:51 Re: Finite volumes vs. finite elements: applicatio #11 rt Guest   Posts: n/a I think that it is not correct to say computational cost of FEM is more than FVM, main portion of cost is related to solution of linear (or non-linear) system of equations, that its cost is function of computational stencil. If usual vertex centered FVM is used, its stencil is same as FEM with linear shape functions. If cell-centered FVM is used (such as Fluent, OpenFoam) stencil is smaller only when we have orthogonal grid (e.g. for triangular mesh line that connect center of two-neighbor cell pass from face normal vector), else people usualy use skeness correction technique that don't has essentially better performance, althouth sometimes such correction is neglected in practice (but 2nd order accuracy is not essentially acheived), so it can be said that (efficient) FVM is more sensitive to grid quality and is prefared when we have smooth grid. Finally, i think that FEM make life more easy due to its ease of implementation. lakeat likes this.

 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 mr_stoked ANSYS Meshing & Geometry 1 September 21, 2010 12:45 T3rmInAt0r Main CFD Forum 0 June 9, 2010 14:00 tool Main CFD Forum 0 October 9, 2008 10:07 Chie Min CFX 5 July 12, 2001 23:19 Uve Main CFD Forum 0 June 27, 2000 11:05

All times are GMT -4. The time now is 16:52.

 Contact Us - CFD Online - Top