Joce
  • Member for 6 years, 3 months
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Diffusion coefficient when simulating in 2D
4 votes

That's a modelling problem, not a CS one. This will depend on what is diffusing and on the reasons why 2D is relevant. You may want to give physical details and ask this on physics.SE. Alternatively ...

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Find triangle which contains point on the sphere
3 votes

A generic way of looking up the element in which a point of given coordinates may be is to sort them into a quadtree (octree in 3D). The leaves of the tree will contain only element having an ...

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Laplace's equation with periodic Dirichlet boundary conditions
Accepted answer
2 votes

This is not just a "numerical discontinuity". Are you sure that this is the problem you want to solve? $\Phi$ looks like a phase, which is defined up to $2\pi$. That may be what you refer to as "...

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Simple methods for solving 2D steady incompressible flow?
1 votes

With the continuity eqn only, you are missing all the mechanical balance: viscous and/or inertial effects will decide of the streamlines of such a flow. If your major aim is to keep it as simple as ...

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Usefulness of elements with mesh-dependent stability
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1 votes

This problem also arises in 2D, when all the vertices of a triangle lie on the boundary. And Stokes problem is not the only problem which may fail with such meshes, a $p$-Laplacian problem for some ...

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Using two reference values for a scalar variable: What's the name of this type of problem?
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1 votes

Have you thought of barycentric coordinates? There is a unique way to write $x=\alpha A + \beta B$ with $\alpha+\beta=1$. Barycentric coordinates are usually employer in larger dimensions, but seem ...

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In which cases an interface tracking/capturing method needed along with Navier-Stokes solver for flow?
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1 votes

Free surfaces occur when there are several phases present with sharp(ish) interfaces free to move. Some methods allow to treat all the phases as a single mathematical problem (e.g. level set or phase ...

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Interpolation of velocities on staggered grid (in PIC)
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0 votes

For the fluid->particle problem, @AbhilashReddyM gave you the answer, the boundary condition will give you the value of $v_x$ at the boundaries. For the particle->fluid problem, yes, it is a boundary ...

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What methods exist to solve for the fluid flow past a cylinder using finite differences on a Cartesian grid?
0 votes

I'm coming a long time after the OP asked the question, but I think a general answer is still missing. If your code allows you to interact with the linear problem you obtain, the simplest is that you ...

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