In the last decade,the computational modelling of flows with moving boundaries or free surfaces using FEM and/or BEM has become a topic of great interest in literature,wherein the BEM models are shown to be morL efficient than FEM,particularly for the time-marching scheme and nonlinear iteration algorithm.However,in most of the existing works,the unsteady sloshing problem is considered for 2-D rectangular tanks so that the elevation of the free surface is defined by only one geometric parameter.In this paper,a Lagrange-wise BEM scheme is applied to fit the arbitrary tank and it will be much easier to be extended to the 3-D case and incorporated into the structure'interaction,for which the finite deformation of the tank wall should be taken into account.The numerical results for both rectangular and semi-circular tanks are presented.
In this paper, a BEM model for transient heat transfer with phase-front as a mov-ing boundary is presented. A new time-marching scheme together with the analytical treatment of integrals for the diffusion fundamental solution and its numerical calcu-lation are formulated. Some examples show that the presented algorithm is of higher accuracy and stability. It could be used to two phase field case even with convection and other stronger nonlinear effects.
