Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F62378419
kato.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Sun, May 12, 19:13
Size
9 KB
Mime Type
text/x-c++
Expires
Tue, May 14, 19:13 (2 d)
Engine
blob
Format
Raw Data
Handle
17639951
Attached To
rTAMAAS tamaas
kato.cpp
View Options
/**
* @file
*
* @author Son Pham-Ba <son.phamba@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016-2018 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Tamaas is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "kato.hh"
#include "elastic_functional.hh"
#include "loop.hh"
#include "fft_plan_manager.hh"
#include <iomanip>
#include <iterator>
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
Kato::Kato(Model& model, const GridBase<Real>& surface, Real tolerance,
Real mu)
: ContactSolver(model, surface, tolerance),
engine(model.getBEEngine()), mu(mu) {
if (model.getType() != model_type::surface_1d &&
model.getType() != model_type::surface_2d) {
TAMAAS_EXCEPTION(
"Model type is not compatible with Kato solver");
}
gap = this->_gap.get(); // locally allocated
pressure = &model.getTraction();
comp = pressure->getNbComponents();
N = pressure->getNbPoints();
if (model.getType() == model_type::surface_1d) {
initSurfaceWithComponents<model_type::surface_1d>();
} else {
initSurfaceWithComponents<model_type::surface_2d>();
}
}
/* -------------------------------------------------------------------------- */
Real Kato::solve(GridBase<Real>& p0) {
if (p0.getNbPoints() != comp) {
TAMAAS_EXCEPTION(
"Target mean pressure does not have the right number of components");
}
Real cost = 0;
switch (model.getType()) {
case model_type::surface_1d:
cost = solveTmpl<model_type::surface_1d>(p0);
break;
case model_type::surface_2d:
cost = solveTmpl<model_type::surface_2d>(p0);
break;
default:
break;
}
return cost;
}
template <model_type type>
Real Kato::solveTmpl(GridBase<Real>& p0) {
Real cost = 0;
UInt n = 0;
// Printing column headers
std::cout << std::setw(5) << "Iter"
<< " " << std::setw(15) << "Cost_f"
<< " " << std::setw(15) << "Error" << '\n'
<< std::fixed;
pressure->uniformSetComponents(p0);
// setMaxIterations(10);
// setDumpFrequency(1);
do {
engine.solveNeumann(*pressure, *gap);
*gap -= surfaceComp;
*pressure -= *gap;
enforcePressureConstraints<type>(p0);
cost = computeCost();
printState(n, cost, cost);
} while (cost > this->tolerance && n++ < this->max_iterations);
Real beta = computeBeta<type>();
computeFinalGap<type>(beta);
model.getDisplacement() = *gap;
return cost;
}
/* -------------------------------------------------------------------------- */
Real Kato::solveRelaxed(GridBase<Real>& g0) {
if (g0.getNbPoints() != comp) {
TAMAAS_EXCEPTION(
"Target mean gap does not have the right number of components");
}
Real cost = 0;
switch (model.getType()) {
case model_type::surface_1d:
cost = solveRelaxedTmpl<model_type::surface_1d>(g0);
break;
case model_type::surface_2d:
cost = solveRelaxedTmpl<model_type::surface_2d>(g0);
break;
default:
break;
}
return cost;
}
template <model_type type>
Real Kato::solveRelaxedTmpl(GridBase<Real>& g0) {
constexpr UInt comp = model_type_traits<type>::components;
Real cost = 0;
UInt n = 0;
// Printing column headers
std::cout << std::setw(5) << "Iter"
<< " " << std::setw(15) << "Cost_f"
<< " " << std::setw(15) << "Error" << '\n'
<< std::fixed;
*pressure = 0;
do {
engine.solveNeumann(*pressure, *gap);
addUniform<comp>(*gap, g0);
*gap -= surfaceComp;
*pressure -= *gap;
enforcePressureCoulomb<type>();
cost = computeCost();
printState(n, cost, cost);
} while (cost > this->tolerance && n++ < this->max_iterations);
*gap += surfaceComp;
model.getDisplacement() = *gap;
return cost;
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Kato::initSurfaceWithComponents() {
constexpr UInt comp = model_type_traits<type>::components;
surfaceComp.setNbComponents(comp);
surfaceComp.resize({N});
surfaceComp = 0;
Loop::stridedLoop(
[] CUDA_LAMBDA(Real& s, StaticVector<Real, comp>&& sc) {
sc(comp - 1) = s;
},
surface, surfaceComp);
}
/* -------------------------------------------------------------------------- */
/**
* Projects $\vec{p}$ on $\mathcal{C}$ and $\mathcal{D}$.
*/
template <model_type type>
void Kato::enforcePressureConstraints(GridBase<Real>& p0) {
UInt n = 50;
for (UInt i = 0; i < n; i++) {
enforcePressureMean<type>(p0);
enforcePressureCoulomb<type>();
}
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Kato::enforcePressureMean(GridBase<Real>& p0) {
constexpr UInt comp = model_type_traits<type>::components;
Grid<Real, 1> corr({1}, comp);
computeMean<comp>(*pressure, corr);
corr -= p0;
StaticVector<Real, comp> corr_(corr(0));
Loop::stridedLoop(
[corr_] CUDA_LAMBDA(StaticVector<Real, comp>&& p) {
p -= corr_;
},
*pressure);
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Kato::enforcePressureCoulomb() {
constexpr UInt comp = model_type_traits<type>::components;
Loop::stridedLoop(
[this] CUDA_LAMBDA(StaticVector<Real, comp>&& p) {
StaticVector<Real, comp - 1> p_T(p(0));
Real p_N = p(comp - 1);
Real p_T_sqrd= p_T.l2squared();
bool cond1 = (p_N >= 0 && p_T_sqrd <= mu * mu * p_N * p_N);
bool cond2 = (p_N <= 0 && p_T_sqrd <= p_N * p_N / mu / mu);
if (cond2) {
p_T = 0;
p(comp - 1) = 0;
} else if (!cond1) {
Real p_T_norm = std::sqrt(p_T_sqrd);
Real k = (p_N + mu * p_T_norm) / (1 + mu * mu);
p_T *= k * mu / p_T_norm;
p(comp - 1) = k;
}
},
*pressure);
}
/* -------------------------------------------------------------------------- */
/**
* Compute mean of the field taking each component separately.
*/
template <UInt comp>
void Kato::computeMean(GridBase<Real>& field, GridBase<Real>& mean) {
for (UInt i = 0; i < comp; i++) {
mean(i) = Loop::stridedReduce<op::plus>(
[i] CUDA_LAMBDA(StaticVector<Real, comp>&& f) {
return f(i);
},
field);
}
mean /= N;
}
/* -------------------------------------------------------------------------- */
template <UInt comp>
void Kato::addUniform(GridBase<Real>& field, GridBase<Real>& vec) {
for (UInt i = 0; i < comp; i++) {
Loop::stridedLoop(
[&] CUDA_LAMBDA(StaticVector<Real, comp>&& f) {
f(i) += vec(i);
},
field);
}
}
/* -------------------------------------------------------------------------- */
Real Kato::computeCost() {
UInt N = pressure->getNbPoints();
Real beta = 0;
Grid<Real, 1> lambda({N}, 1);
Grid<Real, 1> eta({N}, 1);
Grid<Real, 1> p_N({N}, 1);
Grid<Real, 1> p_C({N}, 1);
switch (model.getType()) {
case model_type::surface_1d:
beta = computeBeta<model_type::surface_1d>();
computeValuesForCost<model_type::surface_1d>(beta, lambda, eta, p_N, p_C);
break;
case model_type::surface_2d:
beta = computeBeta<model_type::surface_2d>();
computeValuesForCost<model_type::surface_2d>(beta, lambda, eta, p_N, p_C);
break;
default:
break;
}
return p_N.dot(lambda) + p_C.dot(eta);
}
/* -------------------------------------------------------------------------- */
template <model_type type>
Real Kato::computeBeta() {
constexpr UInt comp = model_type_traits<type>::components;
return Loop::stridedReduce<op::max>(
[this] CUDA_LAMBDA(StaticVector<Real, comp>&& g) {
StaticVector<Real, comp - 1> g_T(g(0));
Real g_N = g(comp - 1);
Real g_T_norm = g_T.l2norm();
return mu * g_T_norm - g_N;
},
*gap);
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Kato::computeValuesForCost(Real beta, GridBase<Real>& lambda, GridBase<Real>& eta,
GridBase<Real>& p_N, GridBase<Real>& p_C) {
constexpr UInt comp = model_type_traits<type>::components;
Loop::stridedLoop(
[this, beta] CUDA_LAMBDA(StaticVector<Real, comp>&& p,
StaticVector<Real, comp>&& g,
Real& lambda_,
Real& eta_,
Real& p_N_,
Real& p_C_) {
StaticVector<Real, comp - 1> g_T(g(0));
Real g_N = g(comp - 1);
Real g_T_norm = g_T.l2norm();
lambda_ = g_N - mu * g_T_norm + beta;
eta_ = g_T_norm;
StaticVector<Real, comp - 1> p_T(p(0));
Real p_N = p(comp - 1);
Real p_T_norm = p_T.l2norm();
p_N_ = p(comp - 1);
p_C_ = mu * p_N - p_T_norm;
},
*pressure, *gap, lambda, eta, p_N, p_C);
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Kato::computeFinalGap(Real beta) {
constexpr UInt comp = model_type_traits<type>::components;
Loop::stridedLoop(
[beta] CUDA_LAMBDA(StaticVector<Real, comp>&& g,
StaticVector<Real, comp>&& h) {
g(comp - 1) += h(comp - 1) + beta;
},
*gap, surfaceComp);
}
__END_TAMAAS__
/* -------------------------------------------------------------------------- */
Event Timeline
Log In to Comment