Abstract
The three-dimensional numerical manifold method(3D-NMM),which is based on the derivation of Galerkin's variation,is a powerful calculation tool that uses two cover systems.The 3D-NMM can be used to handle continue-discontinue problems and extend to THM coupling.In this study,we extended the 3D-NMM to simulate both steady-state and transient heat conduction problems.The modelling was carried out using the raster methods(RSM).For the system equation,a variational method was employed to drive the discrete equations,and the crucial boundary conditions were solved using the penalty method.To solve the boundary integral problem,the face integral of scalar fields and two-dimensional simplex integration were used to accurately describe the integral on polygonal boundaries.Several numerical examples were used to verify the results of 3D steady-state and transient heat-conduction problems.The numerical results indicated that the 3D-NMM is effective for handling 3D both steady-state and transient heat conduction problems with high solution accuracy.
基金项目
国家自然科学基金(42277165)
国家自然科学基金(41920104007)
国家自然科学基金(41731284)
Fundamental Research Funds for the Central Universities,China University of Geosciences,Wuhan(CUGCJ1821)
Fundamental Research Funds for the Central Universities,China University of Geosciences,Wuhan(CUGDCJJ202234)
National Overseas Study Fund(202106410040)
维普
万方数据