This review paper presents an overview of Vortex Methods for flow simulation and their
different sub-approaches, from their creation to the present. Particle methods distinguish …

This article reviews state-of-the-art adaptive, multiresolution wavelet methodologies for
modeling and simulation of turbulent flows with various examples. Different numerical …

We have extended our previous 2D method [Gerya, TV, Yuen, DA, 2003. Characteristics-
based marker-in-cell method with conservative finite-differences schemes for modeling …

Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

We present a GPU accelerated solver for simulations of bluff body flows in 2D using a
remeshed vortex particle method and the vorticity formulation of the Brinkman penalization …

We present a new methodology for simulating self-gravitating general-relativistic fluids. In
our approach the fluid is modelled by means of Lagrangian particles in the framework of a …

Based on the previous literature about the random logistic and Gompertz models, the aim of
this paper is to extend the investigations to the generalized logistic differential equation in …

Abstract We present MRAG-I2D, 1 an open source software framework, for multiresolution
simulations of two-dimensional, incompressible, viscous flows on multicore architectures …

This paper is devoted to the definition, analysis and implementation of semi-Lagrangian
methods as they result from particle methods combined with remeshing. We give a complete …

We propose the use of high‐order weighted essentially non‐oscillatory interpolation and
moving‐least‐squares approximation schemes alongside high‐order time integration to …