The capillary time-step constraint is the dominant limitation on applicable in many simulations of interfacial flows with surface tension and, consequently, governs execution time these simulations. We propose a fully-coupled pressure-based algorithm based an algebraic Volume-of-Fluid (VOF) method conjunction implicit linearised treatment that can breach constraint. advection interface solved t...

We have learned that the numerical solution obtained from Euler's method, converges to the exact solution () of the initial value problem ′ = (,), (0) = 0 , as ℎ → 0. We now analyze the convergence of a general one-step method of the form +1 = + ℎΦ(, , ℎ), for some continuous function Φ(, , ℎ). We define the local truncation error of this one-step method by (ℎ) = (+1) − () ℎ − Φ(, (), ℎ). That ...

Macopa is a partial differential equations solver based on a particular local time stepping technique dedicated to multi-physics and multi-scale problems. Here, some parallelisation strategies – multithreading, domain decomposition, and hybrid OpenMP/MPI– are introduced for this solver. Their efficiency is evaluated on a few examples. 1 Context Numerical simulation has become a central tool for...

The new coronavirus (COVID-19) has spread to over 200 countries, with 36 million confirmed cases as of October 10, 2020. As a result, numerous machine learning models capable forecasting the epidemic worldwide have been produced. This paper reviews and summarizes most relevant for COVID-19. dataset is derived from world health organization (WHO) COVID-19 dashboard, it contains official daily co...

The efficiencies of one implicit and three explicit time integrators have been compared in line dislocation dynamics simulations using two test cases: a collapsing loop and a Frank–Read (FR) source with a jog. The time-step size and computational efficiency of the explicit integrators is shown to become severely limited due to the presence of so-called stiff modes, which include the oscillatory...