id: 00952937
dt: a
an: 00952937
au: Mazaheri, K.; Seyed Reyhani, S.A.
ti: Finite volume solution of the heat equation on an adaptive Delaunay grid.
so: Sundén, Bengt (ed.) et al., Advances in engineering heat transfer.
    Proceedings of the 2nd Baltic heat transfer conference held in Riga,
    Jurmala, Latvia, August 21-23, 1995. Southampton: Computational
    Mechanics Publications. 637-645 (1995).
py: 1995
pu: Southampton: Computational Mechanics Publications
la: EN
cc: 
ut: numerical example; steady heat equation; grid generation; Delaunay
    triangulation algorithm; cell-vertex finite volume formulation; Laplace
    equation; convergence; singular boundary conditions
ci: 
li: 
ab: Summary: Finite volume formulation is applied to the steady heat equation,
    and using adaptive grid, the solution is refined, to get enough
    accuracy in all grid points. The grid generation scheme uses a frontal
    approach to introduce new nodes in several steps, and using a
    relatively fast Delaunay triangulation algorithm, they are
    triangulated. A cell-vertex finite volume formulation is used to
    discretize the physical differential equation. Assumption of linear
    distribution of the temperature in each cell, reduces the Laplace
    equation to an explicit or implicit algebraic equation for each cell.
    An iterative scheme is used to adapt the mesh, and to solve the
    equations till convergence in the solution is observed. Several
    examples show that the method is convergent, and produces accurate
    solutions even in the case of singular boundary conditions.
rv: