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

We present a method for simulating water and smoke on an unrestricted octree data
structure exploiting mesh refinement techniques to capture the small scale visual detail. We …

ALPACA is a simulation environment for simulating hyperbolic and (incompletely) parabolic
conservation laws with multiple distinct and immiscible phases. As prominent example …

Multiscale physics is the interaction of different physical processes occurring at largely
separated scales. In combustion, many elementary reactions combine to only a few, but still …

In this paper we present the main conceptual ingredients and the current state of
development of the new solver QUADFLOW for large scale simulations of compressible fluid …

We present unprecedented, high throughput simulations of cloud cavitation collapse on 1.6
million cores of Sequoia reaching 55% of its nominal peak performance, corresponding to …

We present a fully adaptive numerical scheme for evolutionary PDEs in Cartesian geometry
based on a second-order finite volume discretization. A multiresolution strategy allows local …

In recent years the concept of fully adaptive multiscale finite volume schemes for
conservation laws has been developed and analytically investigated. Here the grid …

In this work, we present a block-based multi-resolution method coupled with a sharp
interface model (MR-SIM) for the high-resolution simulation of multi-phase flows, where data …

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