Timeline for Is lattice Boltzmann suitable for simulation of incompressible Stokes flow?
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Jun 28, 2019 at 22:28 | comment | added | Mithridates the Great | But, for a given geometry and a given Reynolds number, LBM needs a extremely larger number of mesh (LBM people call it lattice point, sigh crazy people...) and extremely low time step which makes LBM somewhat impractical or at least it would need a lot of unnecessary resources such as higher number of nodes, cores, storage, etc. So, in my conclusion, LBM is great for physicists that study fluid dynamics for really structured simple geometries and in a very small Reynolds numbers. Otherwise, any sane guy must use FEM to solve a real world or an engineering problem. | |
Jun 28, 2019 at 22:25 | comment | added | Mithridates the Great | As someone that use LBM for almost three years and used FEM/FVM for almost 10 years, I would say LBM is only a good option for very very small Reynolds numbers. You said: "in dimensional units the velocities may be as any desired value as long as the Reynolds number is the same in lattice units as in dimensional units." so what?! Our main concern is to use it for medium range Reynolds numbers of 500 to 1000 and honestly I would say LBM really sucks, specially for simulating the flow in unstructured grids. I agree that hypothetically LBM is easier to implement (don't believe it lol...) | |
May 1, 2017 at 12:13 | comment | added | BlaB | As WolfgangBangerth mentioned, in LBM you will need to solve the full transient flow. If what you are interested is the steady-state Stokes flow, then there are many situations where LBM will underperform classical FEM method, especially since you are stuck with a diffusive scaling for the timestep as you refine ($\Delta t \propto \Delta x^5$ in 3D). FEM and FVM methods have evolved significantly since the last decades, simulations with 1Billion or 10Billions elements in steady-state are not as challenging as they used to be. | |
Apr 13, 2017 at 12:53 | history | edited | CommunityBot |
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Apr 14, 2016 at 15:12 | comment | added | user1876484 | See also ASL and this post (see the perormance link there). | |
Oct 29, 2015 at 11:19 | history | edited | nluigi | CC BY-SA 3.0 |
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Oct 29, 2015 at 11:18 | review | First posts | |||
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Oct 29, 2015 at 11:13 | history | answered | nluigi | CC BY-SA 3.0 |