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High order meshing is becoming increasing important in Computational Fluid Dynamics since high order numerics requires the boundaries to be more accurately repr
by whinvik 6y ago
High order meshing is becoming increasing important in Computational Fluid Dynamics since high order numerics requires the boundaries to be more accurately represented. Would be interesting to know if this method could be extended to generate quadrilaterals.
- snakeboy 6y agoAs someone with only a basic knowledge of FEA, why would a quadrilateral mesh ever make more sense than triangular?
- whinvik 6y agoThere are multiple reasons but they all can be application specific. First reason is that quadrilaterals can be mapped to a square and so you can use "Tensor product" elements which is just a fancy way of saying that you can uncouple the equations to be 1D for each direction. So you can think of your problem in 1D and easily extend them to 2D by using quadrilaterals. Second is somewhat related and is sparsity. The matrices generated for quadrilaterals would be sparser and hence your performance will be higher. Third is accuracy. Quadrilaterals are regarded to be more accurate however I am not sure there are proofs or conclusive studies on this, more a rule of thumb.