Implementation of Deformation class. More...

#include <cmath>
#include <numeric>
#include "grid.h"
#include "grid_GridAndTime_impl.h"

Include dependency graph for grid_deformation.cpp:

Typedefs
using	Domain = Esfem::Grid::Deformation::Domain
	$\R^3$

using	Range = Esfem::Grid::Deformation::Range
	$\R^3$

Functions
static void	identity (const Domain &x, Range &y) noexcept
	$id\colon \R^3 \to \R^3$

static void	logistic_growth (const double t, const Domain &x, Range &y) noexcept
	$r(t) = \frac{r_{end} r_0}{r_{end} e^{-kt} + r_0 (1 - e^{-kt})}$ More...

static void	dalquist (const double t, const Domain &x, Range &y)
	Dalquist test equation with $\lambda=1$ .

static void	mcf_sphere (const double t, const Domain &x, Range &y)
	$R(t) = \sqrt{ R_0^2 - 2nt}$

Detailed Description

Implementation of Deformation class.

Revision history

 Revised by Christian Power April 2016
 Originally written by Christian Power
      (power22c@gmail.com) Januar 2016

Explicit flow functions are coded as inline functions.

inlinestaticnoexcept

$r(t) = \frac{r_{end} r_0}{r_{end} e^{-kt} + r_0 (1 - e^{-kt})}$

Parameters

t	Current time
x	Point from the initial surface

Return values

y

Definition at line 52 of file grid_deformation.cpp.