MODEL CODE EXAMPLES BY EXAMPLE NUMBER ** (R) means exact results are in data remarks, (S) means discussed in Selected Solutions ------------------------------- ------- ------- -------- -------------------- Subject Example DataSet Exact_Case or Equation Number Numb(S) Number(I,R) Remark ------------------------------- ------- ------- -------- -------------------- ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 01 1 Convection_Conduction ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 02 1 Foundation_Pile ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 03 1 Convection_Conduct_MPC ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 04 1 Convection_Conduct_Flux ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 05 26 U"_-U_+1_=_0 ODE:[P'_h^3_/_6_nu]'_=_[U_h]' 102 01 R Slider_Bearing_step ODE:[P'_h^3_/_6_nu]'_=_[U_h]' 102 02 R Slider_Bearing_tilted ODE:y'_+_A_y_=_F 103 01S 31 by_least_sq ODE:u"_+_u_+_x_=_0 104 02 9 EBC_Flux_6_L2_elements ODE:u"_+_u_+_x_=_0 104 03 10 EBC_NBC_6_L2_elements ODE:u"_+_u_+_x_=_0 104 04 9 EBCs_3_L3_elements ODE:u"_+_u_+_x_=_0 104 05 9 EBCs_2_L4_elements ODE:u"_+_u_+_x_=_0 104 06 9 EBCs_1_L4_Global_est ODE:u"_+_u_+_x_=_0 104 07 9 EBCs_1_L2_2_L3_elems ODE:u"_+_Q(x)_=_0 105 01 11 Q_=x^N_6_L2_elems ODE:u"_+_Q(x)_=_0 105 02 11 Q_=x^N_2_L4_elems ODE:u"_+_Q(x)_=_0 105 03 14 Q_step_1_to_0_EBCs ODE:u"_+_Q(x)_=_0 105 04 14 Q_step_non_homogeneous ODE:u"_+_Q(x)_=_0 105 05 0 Q_step_1_to_0_EBC_NBC ODE:u"_+_f1_u'_+_f2_u_=f3 106 01 15 EBC_only_unsymmetric ODE:u"_+_f1_u'_+_f2_u_=f3 106 02 16 EBC_RBC_unsymmetric ODE:u"_+_f1_u'_+_f2_u_=f3 106 03 17 RBC_RBC_unsymmetric ODE:u"_+_f1_u'_+_f2_u_=f3 107 01 15 Least_Sq_EBC_only ODE:u"_+_f1_u'_+_f2_u_=f3 107 02 16 Least_Sq_EBC_MPC ODE:u"_+_f1_u'_+_f2_u_=f3 107 03 17 Least_Sq_MPC_MPC ODE:K*A_U,xx-H*P(U-U_ext)+Q_e 108 01 0 Truss_cond_conv ODE:K*A_U,xx-H*P(U-U_ext)+Q_e 108 02 1 Bar_cond_conv ODE:K*A_U,xx-H*P(U-U_ext)+Q_e 108 03 14 Bar_Q_step_1_to_0 ODE:K*A_U,xx-H*P(U-U_ext)+Q_e 108 04 0 Truss_cond_conv ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 01 21 Cyl_conduction_EBC ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 02 21 Cyl_conduction_EBC ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 03 0 Coaxial_cable_2_L3 ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 04 0 Coaxial_cable_4_L3 Cylindrical_stress_analysis 110 01 R Cyl_stress_disp Electrical_circuit 111 01 0 Voltage_network Advection-Diffusion 112 01 18 SUPG_or_Galerkin_L2 Advection-Diffusion 112 02 18 SUPG_or_Galerkin_L3 Thermal_stress_1D 113 01 R Mech_stress_only Thermal_stress_1D 113 02 R Thermal_stress Thermal_stress_1D 113 03 R Patch_test Heat_and_Mass_Transfer_L2 114 01 1 108_2_no_m_dot Heat_and_Mass_Transfer_L2 114 02 0 Logan_mass_flow Heat_and_Mass_Transfer_1D 115 01 R Logan_mass_flow_L3 ODE:u*dp/dx-d(k*dp/dx)/dx=Q 116 01 18 LeastSq_adv_diffusion ODE:K(U)*U,xx+Q=0 117 01 R Nonlinear_Conduction_L2 ODE:K(U)*U,xx+Q=0 117 02 R Nonlinear_Conduction_L3 ODE:K(U)*U,xx+Q=0 117 03 R Nonlinear_Conduction_L3 ODE:K*A_U,xx-H*P(U-U_ext)+Q_e 118 01 1 Conv_Cond_L2_1D ODE:y'_+_A_y_=_F 119 01 31 Galerkin_unsymmetric ODE:k*u"+Q_nodal=0 120 00 0 Several_to_list_here PDE:K*u,xx_-_R*u,t=0 121 01 0 Desai_4dof_example_iter PDE:K*u,xx_-_R*u,t=0 121 02 I Myers_example_9.4_iter PDE:K*u,xx_-_R*u,t=0 122 01 I Transient_Myers_example PDE:K*u,xx_-_R*u,t=0 122 02 I Transient_Hutton_Ex7_11 PDE:K*u,xx_-_R*u,t=0 122 03 0 Transient_Desai_4dof_ex PDE:K*u,xx_-h(u-u_ext)-_R*u,t=0 123 01 I Burnett_transient_convec ODE:u"_+_u_+_x_=_0 124 01 9 EBCs_2_L2_hard_coded ODE:u"_+_u_+_x_=_0 124 02 9 EBCs_6_L2_hard_coded Beam_on_elastic_foundation 125 01 0 center_point_load Beam_on_elastic_foundation 125 02 R No_foundation_check Beam_on_elastic_foundation 125 03 R Natural_freq_cantilever ODE:u"_+_f1_u'_+_f2_u_=f3 126 01 15 Quintic_107_Least_Sq ODE:u"_+_f1_u'_+_f2_u_=f3 126 02 16 Quintic_107_02_L_Sq ODE:u"_+_f1_u'_+_f2_u_=f3 127 01 15 Quintic_107_Galerkin ODE:Y"_-_(x^2_-_2E)_Y_=0 128 00 0 Schrodinger_C1L3_Hermite ODE:Y"_-_(x^2_-_2E)_Y_=0 129 01 0 L2_Schrodinger_ode_only ODE:Y"_-_(x^2_-_2E)_Y_=0 129 02 0 L3_Schrodinger_ode_only ODE:Y"_-_(x^2_-_2E)_Y_=0 130 01 0 Schrodinger_ode_or_eigen ODE:Y"_-_(x^2_-_2E)_Y_=0 130 02 0 Schrodinger_4_L3_eigen Axial_or_torsional_bar_L2 136 01 R Nat_Freq_Spring_Mass Axial_or_torsional_bar_L2 136 02 R Time_Hist_Spring_Mass Axial_or_torsional_bar_L2 136 03 R Time_HistB_Spring_Mass Axial_or_torsional_bar_L2 136 04 R Twist_stepped_bar Axial_or_torsional_bar_L2 136 05 R Bar_torsional_nat_freq Axial_or_torsional_bar_GQ 137 01 R Time_Hist_Spring_Mass Axial_or_torsional_bar_GQ 137 02 R Drill_collar_lumped_L3 Axial_or_torsional_bar_GQ 137 03 R Drill_and_collar_L3 Plane_Stress 201 01 R T6_Patch_Test Plane_Stress 201 02 R Q8_Patch_Test Plane_Stress 201 03 R T3_Patch_Test Plane_Stress 201 04 R Q9_Patch_Test Plane_Stress 201 05 R T6_Patch_Test_type2 Plane_Stress 201 06 R T10__Patch_Test Plane_Stress 201 07 0 Two_T3_Example Plane_Stress 201 08 23 Hole_in_plate Poisson_Eq_anisotropic 202 01 2 Whiteman_T6 Poisson_Eq_anisotropic 202 02 5 Annulus_EBC_Q9 Poisson_Eq_anisotropic 202 03 5 Annulus_Flux_EBC_Q9 Poisson_Eq_anisotropic 202 04 5 Annulus_Flux_EBC_NBC Poisson_Eq_anisotropic 202 05 8 Patch_test_2nd_derivs Poisson_Eq_anisotropic 202 06 8 Patch_test_2nd_Q_exact Poisson_Eq_anisotropic 202 07 R Convect_Cond_Cyl_w_hole Laplace_2D_Exact_Cubic 202 08 20 Rect_96_T6_exact_bc Poisson_Eq_anisotropic 202 09 5 Annulus_Exact_Flux_BC Poisson_Eq_Orthotropic 202 10 19 Carslaw_Jaeger_test_Q4 Laplace_Eq_Axisymmetric 202 11 22 Sphere_w_edge_EBC_T6 Poisson_Eq_Source_(xy) 202 12 5 Annulus_segment_Q16 Poisson_Eq_Source_(xy) 202 13 4 Strong_diagonal_T6 Laplace_2D_Patch_Test 202 14 24 EBC_T6_patch_test Laplace_2D_Exact_Cubic 202 15 20 Rect_482_T3_exact_bc Plane_Frame 203 01 R Weaver_plane_frame Plane_Frame 203 02 R Smith_Griffiths_115 Plane_Frame 203 03 R Smith_Griffiths_117 Plane_Frame 203 04 R Beam_incline_roller_MPC Plane_Frame 203 05 R Beam_settlement Plane_Frame 203 06 R Cook_274_MPC Plane_Frame 203 07 R Bathe_full_frame Plane_Frame 203 08 R Bathe_cyclic_symmetry Plane_Frame 203 09 R Bent_w_pressure_pt_load Plane_Frame 203 10 R Bent_w_pressure_only Plane_Frame 203 11 R Natural_freq_cantilever Plane_Frame 203 12 R Nat_freq_cantilever_6L2 Plane_Frame 203 13 R Nat_freq_cantilever_mass Plane_Frame 203 14 R Nat_freq_portal_frame Poisson_Eq_T3_only 204 01 0 EighthSq_EBC_4_el Poisson_Eq_T3_only 204 02 0 EighthSq_EBC_16_el Poisson_Eq_T3_only 204 03 0 EighthSq_EBC_64_el Poisson_Eq_T3_only 204 04 0 Triangle_Lumped_Flux Poisson_Eq_T3_only 204 05 0 Triangle_Edge_Flux Poisson_Eq_T3_only 204 06 0 Allaire_Cool_Fin Poisson_Eq_T3_only 204 07 0 Triangle_8_Edge_q Torsion_Stress_Function 205 01 R Square_Bar_T6 Planar_Truss_explicit 206 01 R Meek_Example_11_bar Planar_Truss_explicit 206 02 R Fixed_bar_temp_rise Planar_Truss_explicit 206 03 R Truss_one_hot_bar Planar_Truss_explicit 206 04 R Truss_inclined_support Planar_Truss_explicit 206 05 R Linear_bar_patch_test Planar_Truss_matrix 207 01 R Meek_Example_11_bar Planar_Truss_matrix 207 02 R Fixed_bar_temp_rise Planar_Truss_matrix 207 03 R Truss_one_hot_bar Planar_Truss_matrix 207 04 R Truss_inclined_support Planar_Truss_matrix 207 05 R Linear_bar_patch_test Axisymmetric_Poisson 208 01 22 Sphere_via_EBC General_Poisson 209 01 0 Allaire_fin_2_T3 General_Poisson 209 02 0 Allaire_fin_32_T3 General_Poisson 209 03 0 Allaire_fin_4_Q9 General_Poisson 209 04 0 Rect_bar_vary_convect General_Poisson 209 05 0 Rect_bar_convection CST_Plane_Stress 210 01 0 Point_load_2_T3 CST_Plane_Stress 210 02 0 X_Body_load_4_T3 SUPG_Advection_Diffusion 211 01 25B Codina_test5_576_Q4 SUPG_Advection_Diffusion 211 02 25B Codina_test4_324_Q4 SUPG_Asset_Put 212 00 0 Steady_state_asset SUPG_Black_Scholes 213 00 0 Steady_state_B_S Transient_General_Poisson 214 01 0 Sq_w_source_heat_up Transient_General_Poisson 214 02 R Hot_Sq_Cool_Down Transient_General_Poisson 214 03 R Axi_Sym_Hot_Sq_Cooldown Transient_General_Poisson 214 04 R Diagonal_mass_214_03 Transient_General_Poisson 214 05 R Average_mass_214_03 Plane_Strain_Analysis 215 01 12 Patch_Test_T6 Plane_Strain_Analysis 215 02 12 Patch_Test_Q8 Heterosis_Q9_Plate_Bending 216 01 R Sq_plate_w_center_load Heterosis_Q9_Plate_Bending 216 02 R Sq_w_pt_load_1/4_sym Space_Frame 301 01 R Weaver_space_frame_132 Space_Frame 301 02 R Beaufait_space_frame Space_Frame 301 03 R Vanderbilt_space_frame Space_Frame 301 04 R Beaufait_plane_frame Space_Frame_3_noded 301 05 R Weaver_133_SF_3_nodes Space_Frame_3_noded 301 06 R Smith_137_SF_3_nodes General_Poisson 302 01 0 Cylinder_wedge_heat3D General_Poisson 302 02 R Patch_Test_3D General_Poisson 302 03 0 Rect_bar_convection3D General_Poisson 302 04 0 Rect_bar_vary_convect2D General_Poisson 302 05 0 Rect_bar_convection2D General_Poisson 302 06 0 Rect_bar_convectionL2 General_Poisson 302 07 0 Rect_bar_convectionL3 Solid_Stress_Analysis 303 01 33 Bending_rect_bar ------------------------------- ------- ------- -------- -------------------- ** (I) means exact results in my_exact_inc file (R) means exact results are in data remarks, (S) means discussed in Selected Solutions