A meshfree ES-PIM for nonlinear transient heat transfer
A meshfree edge-based smoothed point interpolation methods (ES-PIM) is formulated to analyze the nonlinear heat transfer problems in two-dimensions. The nonlinearities arising from the variation of material properties and surface convection coefficients and those due to the inclusion of the radiation effects are fully considered. The PIM is used to approximate the temperature function and the thermal gradient field within edge-based smoothed domains is modified by a generalized gradient smoothing technique. To avoid iterations, quasilinearization scheme is adopted to linearize the nonlinear system equations, and for time integration the Euler backward method is used, as its unconditional stability allows for larger time steps. The smoothed incremental heat transfer equilibrium equations are then established using the generalized smoothed Galerkin weak form. A number of one-and two-dimensional heat transfer problems are studied in terms of the convergence in equivalent energy and the accuracy of temperature field. It is found that present ES-PIM achieves more accurate temperature results and better convergence than FEM and NS-PIM do using the same triangular background meshes and can effectively simulate complex nonlinear heat transfer problems.
Meshfree methods Nonlinear transient heat transfer Convection Radiation Gradient smoothing technique Element-free Galerkin method
S.C.Wu G.R.Liu W.L.Chen X.Y.Cui
Centre for Advanced Materials Joining & Computations (AMJC),School of Materials Science and Engineer Centre for Advanced Computations in Engineering Science (ACES),Department of Mechanical Engineering, Centre for Advanced Materials Joining & Computations (AMJC),School of Materials Science and Engineer Centre for Advanced Computations in Engineering Science (ACES),Department of Mechanical Engineering,
国际会议
南京
英文
1-23
2009-10-18（万方平台首次上网日期，不代表论文的发表时间）