Many problems in biology involve growth. In numerical simulations it can therefore be very convenient to employ a moving computational grid on a continuously deforming domain. In this paper we present a novel application of the moving grid finite element method to compute solutions of reaction–diffusion systems in two-dimensional continuously deforming Euclidean domains. A numerical software pa...

An adjoint model for a 2D finite element Galerkin shallow water model is developed using the Independent Set Perturbation Adjoint method (ISP-Adjoint, [33]). Its performance in a full 4-D VAR setup with a limited area is assessed by comparing with the adjoint model derived by the automatic differentiation approach, where it is used for optimising the initial conditions. It is shown that ISP-Adj...

The paper presents the development of dynamic domain decomposition applied to hopper discharge simulation by the discrete element method (DEM). Parallel neighbour search algorithm, non-blocking interprocessor communication and dynamic load balancing are implemented in the DEM code. Parallel speed-up analysis is performed solving the complex hopper discharge problems containing 100000 and 300000...

Analysis of a variety of dynamic phenomena requires simultaneous resolution at both atomistic and continuum length scales. A combined molecular dynamics and finite element method approach, which we discuss in this paper, allows us to find the balance between the necessary level of detail and computational cost. The combined method is applied to the propagation of a laser-induced pressure wave i...

We present a detailed analysis of the bounds on the integration step in Discrete Element Method (DEM) for simulating collisions and shearing of granular assemblies. We show that, in the numerical scheme, the upper limit for the integration step, usually taken from the average time tc of one contact, is in fact not sufficiently small to guarantee numerical convergence of the system during relaxa...

O. Chivu, C. Rontescu, D-T. Cicic, Polytechnic University of Bucharest, Romania This paper presents the results of the practical trials carried out based on the calculation assumptions considered within the FEM of the reconditioning by welding of a crankshaft used in the automotive industry. For the validation of the analytical model it was considered the influence of the crankshaft fixing poss...

An iterative coupling of finite element and boundary element methods for the investigation of coupled fluid-solid systems is presented. While finite elements are used to model the solid, the adjacent fluid is represented by boundary elements. In order to perform the coupling of the two numerical methods, a successive renewal of the variables on the interface between the two subdomains is perfor...

The affluent literature of finite element methods applied to linear parabolic problems, generally, produces numerical procedures with satisfactory properties from a numerical approximation point of view. However, some initial, boundary conditions or abrupt sink/source terms may cause large gradients at some points and consequently jumps in the solution that usually needs a certain period of tim...

A numerical m ethod i s presented t o a nalyze t he sei smic res ponse of l iquefiable s oil. The m ethod i s base d on t he element free Galerkin method, and the fission procedure belonging to h-refinement indicated by the error estimator, a posteriori er ror est imate procedure depending on energy norm of st ress and t he T-Belytschko (TB) stress recovery scheme, is incorporated into the meth...