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Dynamics.hpp
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Thu, Aug 29, 16:31

Dynamics.hpp
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/* =================================================================================================
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
================================================================================================= */
#ifndef GOOSEFEM_DYNAMCS_CPP
#define GOOSEFEM_DYNAMCS_CPP
// -------------------------------------------------------------------------------------------------
#include "Dynamics.h"
// ======================================= GooseFEM::Dynamics =======================================
namespace GooseFEM {
namespace Dynamics {
// -------------------------------------------------------------------------------------------------
inline void Verlet(Geometry &g, double dt, size_t nstep)
{
for ( size_t istep = 0 ; istep < nstep ; ++istep )
{
// variables & history
xt::xtensor<double,2> u;
xt::xtensor<double,1> V;
xt::xtensor<double,1> A;
xt::xtensor<double,1> V_n = g.dofs_v();
xt::xtensor<double,1> A_n = g.dofs_a();
// new displacement
u = g.u() + dt * g.v() + 0.5 * std::pow(dt,2.) * g.a();
g.set_u(u);
// new acceleration
A = g.solve_A();
g.set_a(A);
// new velocity
V = V_n + .5 * dt * ( A_n + A );
g.set_v(V);
}
}
// -------------------------------------------------------------------------------------------------
inline void velocityVerlet(Geometry &g, double dt, size_t nstep)
{
for ( size_t istep = 0 ; istep < nstep ; ++istep )
{
// variables & history
xt::xtensor<double,2> u;
xt::xtensor<double,1> V;
xt::xtensor<double,1> A;
xt::xtensor<double,1> V_n = g.dofs_v();
xt::xtensor<double,1> A_n = g.dofs_a();
// new displacement
u = g.u() + dt * g.v() + 0.5 * std::pow(dt,2.) * g.a();
g.set_u(u);
// estimate new velocity
V = V_n + dt * A_n;
g.set_v(V);
A = g.solve_A();
V = V_n + .5 * dt * ( A_n + A );
g.set_v(V);
// new velocity
A = g.solve_A();
V = V_n + .5 * dt * ( A_n + A );
g.set_v(V);
// new acceleration
A = g.solve_A();
g.set_a(A);
}
}
// -------------------------------------------------------------------------------------------------
namespace Overdamped
{
inline void forwardEuler(Geometry &g, double dt, size_t nstep)
{
for ( size_t istep = 0 ; istep < nstep ; ++istep )
{
xt::xtensor<double,1> U = g.dofs_u() + dt * g.solve_V();
g.set_u(U);
}
}
}
// -------------------------------------------------------------------------------------------------
}} // namespace ...
// =================================================================================================
#endif

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