mls_shape_functions_utility.h

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//    |  /           |
//    ' /   __| _` | __|  _ \   __|
//    . \  |   (   | |   (   |\__ `
//   _|\_\_|  \__,_|\__|\___/ ____/
//                   Multi-Physics
//
//  License:         BSD License
//                   Kratos default license: kratos/license.txt
//
//  Main authors:    Riccardo Rossi
//                   Ruben Zorrilla
//                   Zhiming Guo
//
 
#pragma once
 
// System includes
 
// External includes
 
// Project includes
#include "containers/array_1d.h"
#include "includes/define.h"
#include "includes/ublas_interface.h"
 
namespace Kratos
{
 
class MLSShapeFunctionsUtility
{
 
public:
 
    static double CalculateKernel(
        const array_1d<double,3>& rRadVect,
        const double h);
 
    template<std::size_t TDim>
    static void CalculateKernelDerivative(
        const array_1d<double,3>& rRadVect,
        const double h,
        array_1d<double,TDim>& rKernelDerivative);
 
    static void EvaluatePolynomialBasis(
        const array_1d<double,3>& rX,
        array_1d<double, 3>& rBasis);
 
    static void EvaluatePolynomialBasis(
        const array_1d<double,3>& rX,
        array_1d<double, 4>& rBasis);
 
    static void EvaluatePolynomialBasis(
        const array_1d<double,3>& rX,
        array_1d<double, 6>& rBasis);
 
    static void EvaluatePolynomialBasis(
        const array_1d<double,3>& rX,
        array_1d<double, 10>& rBasis);
 
    static void EvaluatePolynomialBasisDerivatives(
        const array_1d<double,3>& rX,
        BoundedMatrix<double, 2, 3>& rBasisDerivatives);
 
    static void EvaluatePolynomialBasisDerivatives(
        const array_1d<double,3>& rX,
        BoundedMatrix<double, 3, 4>& rBasisDerivatives);
 
    static void EvaluatePolynomialBasisDerivatives(
        const array_1d<double,3>& rX,
        BoundedMatrix<double, 2, 6>& rBasisDerivatives);
 
    static void EvaluatePolynomialBasisDerivatives(
        const array_1d<double,3>& rX,
        BoundedMatrix<double, 3, 10>& rBasisDerivatives);
 
    template<std::size_t TDim, std::size_t TOrder>
    static void CalculateShapeFunctions(
        const Matrix& rPoints,
        const array_1d<double,3>& rX,
        const double h,
        Vector& rN);
 
    template<std::size_t TDim, std::size_t TOrder>
    static void CalculateShapeFunctionsAndGradients(
        const Matrix& rPoints,
        const array_1d<double,3>& rX,
        const double h,
        Vector& rN,
        Matrix& rDNDX);
};
 
}  // namespace Kratos.