Linear theory is used to determine the stability of the self-gravitating, rapidly (and nonuniformly) rotating, two-dimensional, and collisional particulate disk against small-amplitude gravity perturbations. A gas-kinetic theory approach is used by exploring the combined system of the Boltzmann and the Poisson equations. The effects of physical collisions between particles are taken into accoun...

A class of high resolution kinetic beam schemes in multiple space dimensions in general coordinates system for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The kinetic Boltzmann equation approach is adopted and the local equilibrium quantum statistics distribution is assumed. High-order accurate methods using essentially non-oscillatory interpolation co...

Using high-resolution movie frames and azimuthal imaging scans with radial scales as fine as a few km and longitudinal resolutions as fine as a fraction of a degree, we examine the shapes and kinematics of the B-ring outer edge and the Huygens ringlet. The former is known to be strongly influenced by its proximity to the 2:1 inner Lindblad resonance with Mimas [1,2]; the latter has been suspect...

The paper presents a solution strategy for Euler equations for multiple thermally perfect gaseous species with detailed chemical reaction. Via operator-splitting a high-resolution finite-volume scheme and a stiff ODE solver are coupled. A parallel blockstructured adaptive mesh refinement algorithm is utilized to achieve the required local resolution. A highly resolved computation of regular det...

Seismic imaging has many applications in civil engineering, risk hazard, waste storage monitoring, oil exploration and tectonophysics. Among the different seismic imaging methods the full waveform inversion aims to exploit the full information content of seismic data through the complete resolution of the partial differential wave equation. Once the wave equation has been solved for each seismi...

A significant extension of previously introduced continuous eddy simulation methods is presented by introducing minimal error partially and fully resolving for turbulent flows. This approach represents a machine learning strategy the hybridization modeling-focused resolution-focused methods. It can be applied to well-known equation structures (Spalart–Allmaras type equations, usually two-equati...

Abstract. In this article we introduce an asymptotic preserving scheme designed to compute the solution of a two dimensional elliptic equation presenting large anisotropies. We focus on an anisotropy aligned with one direction, the dominant part of the elliptic operator being supplemented with Neumann boundary conditions. A new scheme is introduced which allows an accurate resolution of this el...

The statistics of solutions to a family of one-dimensional random-force-driven advection-diffusion equations is studied using high resolution numerical simulations. The equation differs from the usual Burgers equation by the non-local form of the nonlinear interaction term mimicking the non-locality of the Navier–Stokes equation. It is shown that under an appropriate choice of random forcing th...

We describe a space and time adaptive numerical method based on wavelet orthonormal bases for solving partial di erential equations. The multiresolution structure of wavelet orthonormal bases provides a simple way to adapt computational re nements to the local regularity of the solution [11] [16]. High resolution computations are performed only in regions where singularities or sharp transition...

This paper introduces a new motion planning algorithm for a biped robot. A geometric constraint equation derived by reshaping the existing ZMP equation enables one to treat the kinematics of the biped robot as a "redundant degrees of freedom" system. Using the ZMP constraint equation, a sequential redundancy resolution algorithm is proposed, which ensures the ZMP trajectory, the planned operati...