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mono: TR developed algorithms which use a spectral element with monotone basis functions. The degrees of freedom for the basis function (“np”) is usually denoted in the grid name, such as ne30np4. For FV grids, only np=1 is supported.
monoSE2FV: SE monotonic basis reconstruction integrated over FV (np=1) cells
monoSE2SE: projection between source and target grid monotonic reconstructions
monoFV2SE: does this exist?
pros: conservative, monotone, good for fine-to-coarse maps.
cons: 1st order accurate
coarse-to-fine maps? Probably good, except for FV source grids.
intbilin: Integrated bilinear vi TR’s “mono2” option. For finite element grids, the shape functions are replaced by a piecewise linear shape functions which are then integrated using a common refinement mesh
pros: monotone, 2nd order, good for fine-to-coarse and coarse-to-fine maps.
cons: SE2FV only.
inttrilin: Integrated linear reconstruction using triangular grids?
pros: monotone, 2nd order(?), good for fine-to-coarse and coarse-to-fine maps
cons: does not exist yet!
volumetric: should we add a convention for TR’s volumetric maps?
might be useful for FV->SE maps. currently not used
highorder: Use of SE shape functions or higher order FV for reconstruction, projected onto SE shape functions, or integrated over FV cell (np=1)
The most accurate SE2SE and SE2FV maps.
Currently not recommended due to large negative weights
{algorithm}trn: For any map from gridA to gridB, one can compute an area weighted transpose map from gridB to gradA. In general, the transpose map will not preserve the properties of the original map. However, the transpose of a consistent map will be conservative and the transpose of a conservative map will be consistent. The transpose of the SE->FV “mono” map (monotone and conservative) will be monotone and conservative.
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