Floating Isogeometric Analysis

We propose Floating Isogeometric Analysis (FLIGA), which extends IGA to extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions in one direction of the parametric space. With basis functions “floating” deformation-dependently in this direction, mesh distortion...

A stable SPH discretization of the elliptic operator with heterogeneous coefficients

Smoothed particle hydrodynamics (SPH) has been extensively used to model high and low Reynolds number flows, free surface flows and collapse of dams, study pore-scale flow and dispersion, elasticity, and thermal problems. In different applications, it is required to have a stable and accurate discretization of the elliptic operator with...

Simulation of debris flow on an instrumented test slope using an updated Lagrangian continuum particle method

We present an updated Lagrangian continuum particle method based on smoothed particle hydrodynamics (SPH) for simulating debris flow on an instrumented test slope. The site is a deforested area near the village of Ruedlingen, a community in the canton of Schaffhausen in Switzerland. Artificial rainfall experiments were conducted on the slope...

Meshless numericalmethods applied tomultiphysics andmultiscale problems

N many fields of science and engineering, such as fluid or structural mechanics, and nanotechnology, dynamical systems at different scale need to be simulated, optimized or controlled. They are often described by discretizations of systems of nonlinear partial differential equations yielding high-dimensional discrete phase spaces. For this...

An implicit rheological model for numerical simulation of generalized Newtonian fluids

Fitting an explicit curve over some discrete data extracted from a rheometer is the usual way of writing a rheological model for generalized Newtonian fluids. These explicit models may not match totally with the extracted data and may ignore some features of the rheological behavior of the fluids. In this paper, a cubicspline curve fitting is...

A meshless front tracking method for the Euler equations of fluid dynamics

A second order front tracking method is developed for solving the Euler equations of inviscid fluid dynamics numerically. Front tracking methods are usually limited to first order accuracy, since they are based on a piecewise constant approximation of the solution. Here the second order convergence is achieved by building a piecewise linear...

Numerical simulation of transonic flows by a flexible optimiser evolution agent

Our methodology is to use evolutionary algorithms (EAs) as a simulation and meshless method, because of the equivalence between verifying a numerical scheme for a nodal point and minimizing a corresponding objective function at this point. One advantage and powerful characteristic of our methodology is that mathematical knowledge and theories...