Abstract
We have proposed a CFD scheme using Helmholtz-element. This element, based on the Helmholtz’s theorem, satisfies the continuity condition for incompressible fluid as strong solution, and therefore, is of some advantages for CFD. However, it is difficult to apply voxel-element using the basis function to arbitrary boundary, since the element requires C1-continuity, and its velocity in rotation form of vector potential evidently has directional non-equality. A finite patch element has been proposed, in which the basic element expressed with basis function fa is further modified and reinforced with basis function of the patch element fb: fa + fb or fa×fb. In this study, we propose a boundary fitting technique in very simple form using the patch element.
