Data Types for Multipatch Geometry

This directory contains classes which are useful for handling objects and types defined on a multipatch domain.

MultipatchType

The class MultipatchType stores different objects of a type which is templated with patches (see Patch). The MultipatchType::get method can be used to retrieve an object defined on a specified patch. For example we can use fields on different patches which would be the type DField<Patch::IdxRange12>.

So after defining

template<class Patch>
using DFieldOnPatch = DField<Patch::IdxRange12>;

we could then have three fields field1, field2 and field3 on patches 1,2 and 3 respectively. The MultipatchType object would then be initialised as

MultipatchType<DFieldOnPatch, Patch1, Patch2, Patch3> multipatch_field(field1, field2, field3);

and the field on patch 3 can be retrieved via

DField<Patch3::IdxRange12> field3_from_multipatch = multipatch_field.get<Patch3>();

Types

In types.hpp file different aliases are defined to use the MultipatchType class:

  • To store 1D grids: Grid1OnPatch and Grid2OnPatch.
  • To store fields and constant fields:
  • 2D: (DFieldMemOnPatch), DFieldOnPatch and DConstFieldOnPatch;
  • 1D on first dimension: DField1OnPatch and DConstField1OnPatch.
  • To store indices and index ranges:
  • 2D: IdxRangeOnPatch
  • 1D on first dimension: IdxRange1OnPatch and Idx1OnPatch.
  • To store coordinates:
  • 2D: CoordFieldOnPatch
  • 1D on first dimension: Coord1Field1OnPatch_1D.
  • To store the splines:
  • Spline grids: BSplines1OnPatch and BSplines2OnPatch.
  • 2D: 2D spline coefficients SplineCoeffOnPatch_2D and ConstSplineCoeffOnPatch_2D;
  • 2D: spline coefficients on the first dimension SplineCoeff1OnPatch_2D and ConstSplineCoeff1OnPatch_2D;
  • 1D on the fist dimension: spline coefficients SplineCoeff1OnPatch_1D and SplineCoeff2OnPatch_1D;
  • To store derivatives:
  • \(\partial_^{(i)} f(x, y_j)\): ConstDeriv1_OnPatch_2D
  • \(\partial_^{(i)} f(x_j, y)\): ConstDeriv2_OnPatch_2D
  • \(\partial_^{(i)} \partial_y^{(j)} f(x, y)\): ConstDeriv12_OnPatch_2D