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Referring to the discretization of partial differential equations using Finite Volume Method.

1 vote
1 answer
331 views

QUICK scheme derivation

I am reading about QUICK scheme for calculating the value of unknown variable $\phi$ in finite volume method. Given a locally one dimensional flow, we assume the value of $\phi$ is computed as a 2nd o …
Algo's user avatar
  • 304
1 vote
2 answers
637 views

How to compute gradient of a cell having a boundary face?

In many situations in unstructured mesh solvers, one needs to compute gradient of arbitrary variable $\phi$ such as temperature or velocity at face centers (one of such situations is correction for me …
Algo's user avatar
  • 304
2 votes
Accepted

How to compute gradient of a cell having a boundary face?

Disclaimer: I'm not 100% sure but I thought that I should provide my working solution to the above problem, for any future visitor that might have the same questions. The answer is for a steady temper …
Algo's user avatar
  • 304
2 votes
1 answer
2k views

How to calculate skewness for a mesh?

I am writing a code to calculate mesh quality stats such as: cell volume, face areas and non-orthogonality between faces (basically something like OpenFOAM's checkMesh). As per F. Moukalled et al, a m …
Algo's user avatar
  • 304
2 votes
3 answers
522 views

Flux sign and face normal confusion in finite volume method

I implemented a solver for the 2D steady-state heat equation (without heat generation and homogeneous material) $\nabla. (k\nabla T) = 0$, using finite volume method, however, I am having some confusi …
Algo's user avatar
  • 304
2 votes
2 answers
1k views

Getting adjacent cells map for an unstructured polyhedral mesh

I am doing a little project on solving the heat equation using finite-volume method on a solid cube, I converted the polyhedral mesh of the cube to an OpenFOAM mesh. I have a Python code where I pars …
Algo's user avatar
  • 304