Exemplo n.º 1
0
        /// <summary>
        /// Developed by: Mehrdad Negahban
        /// Date: 11/12/2012
        ///
        /// Purpose:    Multi-dimensional root element for boundary
        /// Comments:   Uses parametric interpolation
        ///             Uses quadrature integration
        ///
        /// Date modified:
        /// Modified by:
        /// Comments:
        /// </summary>
        public double Calculate_NDLine_DsDXi(Vector Xi, Node_ND[] ElementNoes, out Vector N)
        {
            //Get line length ratio between real line and parametric line
            Matrix_Jagged DXDXi;

            Interpolator.Calculate_N_DXDXi(Xi, ElementNodes, out N, out DXDXi);
            double DsDXi = Math.Sqrt((DXDXi.Transpose() * DXDXi).Trace());//Calculate change of variable

            return(DsDXi);
        }
Exemplo n.º 2
0
        public double Calculate_NDArea_DADAo(Vector Xi, Node_ND[] ElementNoes, out Vector N)
        {
            //Get area ratio between real area and parametric area
            Matrix_Jagged DXDXi;

            Interpolator.Calculate_N_DXDXi(Xi, ElementNodes, out N, out DXDXi);
            Vector DX_1   = DXDXi.GetColumn(0);
            Vector DX_2   = DXDXi.GetColumn(1);
            double DAXDAo = Vector.CrossProduct(DX_1, DX_2).Magnitude();

            return(DAXDAo);
        }