MATLAB/Octave Function Index

This page provides an index of all MATLAB/Octave functions in the MOLE library.

Gradient Operators

• grad() - Returns a m+1 by m+2 one-dimensional mimetic gradient operator

• grad2D() - Returns a two-dimensional mimetic gradient operator

• grad2DCurv() - Returns a 2D curvilinear mimetic gradient

• grad2DNonUniform() - Returns a two-dimensional non-uniform mimetic gradient

• grad3D() - Returns a three-dimensional mimetic gradient operator

• grad3DCurv() - Returns a 3D curvilinear mimetic gradient

• grad3DNonUniform() - Returns a three-dimensional non-uniform mimetic gradient

• gradNonUniform() - Returns a m+1 by m+2 one-dimensional non-uniform mimetic gradient

Divergence Operators

• div() - Returns a m+2 by m+1 one-dimensional mimetic divergence operator

• div2D() - Returns a two-dimensional mimetic divergence operator

• div2DCurv() - Returns a 2D curvilinear mimetic divergence

• div2DNonUniform() - Returns a two-dimensional non-uniform mimetic divergence

• div3D() - Returns a three-dimensional mimetic divergence operator

• div3DCurv() - Returns a 3D curvilinear mimetic divergence

• div3DNonUniform() - Returns a three-dimensional non-uniform mimetic divergence

• divNonUniform() - Returns a m+2 by m+1 one-dimensional non-uniform mimetic divergence

Laplacian Operators

• lap() - Returns a m+2 by m+2 one-dimensional mimetic laplacian operator

• lap2D() - Returns a two-dimensional mimetic laplacian operator

• lap3D() - Returns a three-dimensional mimetic laplacian operator

Nodal Operators

• nodal() - Returns a one-dimensional operator that approximates the first-order

• nodal2D() - Returns a two-dimensional operator that approximates the first-order

• nodal2DCurv() - Returns a 2D curvilinear nodal operator

• nodal3D() - Returns a three-dimensional operator that approximates the first-order

• nodal3DCurv() - Returns a 3D curvilinear nodal operator

• sidedNodal() - Returns a one-dimensional nodal operator with one-sided stencils

Interpolation Functions

• interpol() - Returns a m+1 by m+2 one-dimensional interpolation operator

• interpol2D() - Returns a two-dimensional interpolation operator

• interpol3D() - Returns a three-dimensional interpolation operator

• interpolD() - Returns a m+1 by m+2 one-dimensional interpolation operator

• interpolD2D() - Returns a two-dimensional interpolation operator

• interpolD3D() - Returns a three-dimensional interpolation operator

• interpolCentersToFacesD1D() - Interpolates values from cell centers to faces

• interpolCentersToFacesD2D() - Interpolates values from cell centers to faces

• interpolCentersToFacesD3D() - Interpolates values from cell centers to faces

• interpolCentersToNodes1D() - Interpolates values from cell centers to nodes

• interpolCentersToNodes2D() - Interpolates values from cell centers to nodes

• interpolCentersToNodes3D() - Interpolates values from cell centers to nodes

• interpolFacesToCentersG1D() - Interpolates values from faces to cell centers

• interpolFacesToCentersG2D() - Interpolates values from faces to cell centers

• interpolFacesToCentersG3D() - Interpolates values from faces to cell centers

• interpolNodesToCenters1D() - Interpolates values from nodes to cell centers

• interpolNodesToCenters2D() - Interpolates values from nodes to cell centers

• interpolNodesToCenters3D() - Interpolates values from nodes to cell centers

Boundary Conditions

• addBC1D() - Apply boundary conditions to a 1D system

• addBC1Dlhs() - Create left-hand side matrix for 1D boundary conditions

• addBC1Drhs() - Create right-hand side vector for 1D boundary conditions

• addBC2D() - Apply boundary conditions to a 2D system

• addBC2Dlhs() - Create left-hand side matrix for 2D boundary conditions

• addBC2Drhs() - Create right-hand side vector for 2D boundary conditions

• addBC3D() - Apply boundary conditions to a 3D system

• addBC3Dlhs() - Create left-hand side matrix for 3D boundary conditions

• addBC3Drhs() - Create right-hand side vector for 3D boundary conditions

• boundaryIdx2D() - Get boundary indices for a 2D domain

• mixedBC() - Constructs a 1D mimetic mixed boundary conditions operator

• mixedBC2D() - Constructs a 2D mimetic mixed boundary conditions operator

• mixedBC3D() - Constructs a 3D mimetic mixed boundary conditions operator

• neumann2DCurv() - Returns a 2D curvilinear Neumann BC operator

• neumann3DCurv() - Returns a 3D curvilinear Neumann BC operator

• robinBC() - Returns a m+2 by m+2 one-dimensional mimetic boundary operator that

• robinBC2D() - Returns a two-dimensional mimetic boundary operator that implements

• robinBC3D() - Returns a three-dimensional mimetic boundary operator that

Grid and Transformation Functions

• gridGen() - Generate a grid using transfinite interpolation

• tfi() - Transfinite interpolation for grid generation

• ttm() - Tensor-product transfinite mapping

• jacobian2D() - Calculate the Jacobian matrix for 2D grid transformations

• jacobian3D() - Calculate the Jacobian matrix for 3D grid transformations

Utility Functions

• amean() - Returns the arithmetic mean for every two pairs in a column vector

• hmean() - Returns the harmonic mean for every two pairs in a column vector

• weightsP() - Returns the m+1 weights of P

• weightsP2D() - Returns the two-dimensional weights of P

• weightsQ() - Returns the m+2 weights of Q

• weightsQ2D() - Returns the two-dimensional weights of Q

• rk4() - Explicit Runge-Kutta 4th-order method

• curl2D() - Returns a two-dimensional mimetic curl operator

• DI2() - Returns a 2D diagonal scaling matrix

• DI3() - Returns a 3D diagonal scaling matrix

• GI1() - Returns a 1D geomeric interpretation matrix

• GI13() - Returns a 3D geometric interpretation matrix

• GI2() - Returns a 2D geometric interpretation matrix

• mimeticB() - Returns a m+2 by m+1 one-dimensional mimetic boundary operator

• tensorGrad2D() - Calculate tensor gradient in 2D