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rGOOSEFEM/test/Vector.cpp
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Vector.cpp
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#include "support.h"
// =================================================================================================
TEST_CASE("GooseFEM::Vector", "Vector.h")
{
// =================================================================================================
SECTION("asDofs - nodevec")
{
// mesh
GooseFEM::Mesh::Quad4::Regular mesh(2,2);
// vector-definition
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
// velocity field
// - allocate
xt::xtensor<double,2> v = xt::empty<double>({mesh.nnode(), std::size_t(2)});
// - set periodic
v(0,0) = 1.0; v(0,1) = 0.0;
v(1,0) = 1.0; v(1,1) = 0.0;
v(2,0) = 1.0; v(2,1) = 0.0;
v(3,0) = 1.5; v(3,1) = 0.0;
v(4,0) = 1.5; v(4,1) = 0.0;
v(5,0) = 1.5; v(5,1) = 0.0;
v(6,0) = 1.0; v(6,1) = 0.0;
v(7,0) = 1.0; v(7,1) = 0.0;
v(8,0) = 1.0; v(8,1) = 0.0;
// convert to DOFs
xt::xtensor<double,1> V = vector.AsDofs(v);
// check
// - size
REQUIRE( V.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim() );
// - individual entries
EQ( V(0), v(0,0) );
EQ( V(1), v(0,1) );
EQ( V(2), v(1,0) );
EQ( V(3), v(1,1) );
EQ( V(4), v(3,0) );
EQ( V(5), v(3,1) );
EQ( V(6), v(4,0) );
EQ( V(7), v(4,1) );
}
// -------------------------------------------------------------------------------------------------
SECTION("asDofs - elemvec")
{
// mesh
GooseFEM::Mesh::Quad4::Regular mesh(2,2);
// vector-definition
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
// velocity field
// - allocate
xt::xtensor<double,2> v = xt::empty<double>({mesh.nnode(), std::size_t(2)});
// - set periodic
v(0,0) = 1.0; v(0,1) = 0.0;
v(1,0) = 1.0; v(1,1) = 0.0;
v(2,0) = 1.0; v(2,1) = 0.0;
v(3,0) = 1.5; v(3,1) = 0.0;
v(4,0) = 1.5; v(4,1) = 0.0;
v(5,0) = 1.5; v(5,1) = 0.0;
v(6,0) = 1.0; v(6,1) = 0.0;
v(7,0) = 1.0; v(7,1) = 0.0;
v(8,0) = 1.0; v(8,1) = 0.0;
// convert to DOFs - element - DOFs
xt::xtensor<double,1> V = vector.AsDofs(vector.AsElement(vector.AsDofs(v)));
// check
// - size
REQUIRE( V.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim() );
// - individual entries
EQ( V(0), v(0,0) );
EQ( V(1), v(0,1) );
EQ( V(2), v(1,0) );
EQ( V(3), v(1,1) );
EQ( V(4), v(3,0) );
EQ( V(5), v(3,1) );
EQ( V(6), v(4,0) );
EQ( V(7), v(4,1) );
}
// -------------------------------------------------------------------------------------------------
SECTION("asDofs - assembleDofs")
{
// mesh
GooseFEM::Mesh::Quad4::Regular mesh(2,2);
// vector-definition
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
// force field
// - allocate
xt::xtensor<double,2> f = xt::empty<double>({mesh.nnode(), std::size_t(2)});
// - set periodic
f(0,0) = -1.0; f(0,1) = -1.0;
f(1,0) = 0.0; f(1,1) = -1.0;
f(2,0) = 1.0; f(2,1) = -1.0;
f(3,0) = -1.0; f(3,1) = 0.0;
f(4,0) = 0.0; f(4,1) = 0.0;
f(5,0) = 1.0; f(5,1) = 0.0;
f(6,0) = -1.0; f(6,1) = 1.0;
f(7,0) = 0.0; f(7,1) = 1.0;
f(8,0) = 1.0; f(8,1) = 1.0;
// assemble as DOFs
xt::xtensor<double,1> F = vector.AssembleDofs(f);
// check
// - size
REQUIRE( F.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim() );
// - 'analytical' result
EQ( F(0), 0 );
EQ( F(1), 0 );
EQ( F(2), 0 );
EQ( F(3), 0 );
EQ( F(4), 0 );
EQ( F(5), 0 );
EQ( F(6), 0 );
EQ( F(7), 0 );
}
// -------------------------------------------------------------------------------------------------
SECTION("asDofs - assembleNode")
{
// mesh
GooseFEM::Mesh::Quad4::Regular mesh(2,2);
// vector-definition
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
// force field
// - allocate
xt::xtensor<double,2> f = xt::empty<double>({mesh.nnode(), std::size_t(2)});
// - set periodic
f(0,0) = -1.0; f(0,1) = -1.0;
f(1,0) = 0.0; f(1,1) = -1.0;
f(2,0) = 1.0; f(2,1) = -1.0;
f(3,0) = -1.0; f(3,1) = 0.0;
f(4,0) = 0.0; f(4,1) = 0.0;
f(5,0) = 1.0; f(5,1) = 0.0;
f(6,0) = -1.0; f(6,1) = 1.0;
f(7,0) = 0.0; f(7,1) = 1.0;
f(8,0) = 1.0; f(8,1) = 1.0;
// convert to element, assemble as DOFs
xt::xtensor<double,1> F = vector.AssembleDofs( vector.AsElement(f) );
// check
// - size
REQUIRE( F.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim() );
// - 'analytical' result
EQ( F(0), 0 );
EQ( F(1), 0 );
EQ( F(2), 0 );
EQ( F(3), 0 );
EQ( F(4), 0 );
EQ( F(5), 0 );
EQ( F(6), 0 );
EQ( F(7), 0 );
}
// -------------------------------------------------------------------------------------------------
// =================================================================================================
}
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