An explicit one-step time discretization for discontinuous Galerkin schemes applied to advection-diffusion equations is presented. The main idea is based on a predictor corrector approach which was proposed in [1]. The interesting feature is that the predictor is local and takes only into account the time evolution of the data within each grid cell. In this paper, we focus ourselves to a contin...

Abstract Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) has experienced a tremendous enhancement in methodology and impacted range of multi-physics applications science engineering. This review presents concise survey on latest developments achievements SPH method, including: (1) Brief theory fundamental with kernel corrections, (2) The Riemann-based met...

This paper proposes a novel shuffle turning method for a humanoid robot by controlling load distribution of each sole. Conventionally, turning motion of a humanoid robot is performed by repeating of stepping the feet. However the motion is inefficient and time consuming. In our proposed methods, the feet are slipped on the floor without stepping. To minimize variation of the turning angle due t...

We compare the performance of the fully coupled Newton–Raphson method with the sequential iteration approach (SIA) for solving the implicit time stepping equations of reactive transport modeling. We formulate the implicit time stepping equations for a demonstration model that incorporates homogeneous equilibrium reactions, i.e. carbonate hydrolysis, and a heterogeneous equilibrium reaction, i.e...

The design idea to implement multi-subdividing drive system for stepping motor based on FieldProgrammable Gate Array chip was proposed in this paper. On a piece of EPF10K10LC84-15, the system module was accomplished using Very-High-Speed Integrated Circuit Hardware Description Language and graph editor. The simulation results were shown on the platform MAX+plus . This method could control the s...

The work focuses on the development of a 2D quadrilateral element based Spectral Difference solver for viscous flow calculations, and the application of the p-multigrid method and implicit time-stepping to accelerate convergence. This paper extends the previous work by Liang et al (2009) on the p-multigrid method for 2D inviscid compressible flow, to viscous flows. The high-order spectral diffe...