We review and extend to the compressible regime an earlier parallelization of an implicit incompressible unstructured Euler code [9], and soIve for ffow over an M6 wing in subsonic, transonic, and supersonic regimes. While the parallelization philosophy of the compressible case is identical to the incompressible, we focus here on the nonlinear and linear convergence rates, which vary in dMerent...

Abstract: This paper focuses on the kinematics analysis of free-floating space redundant manipulator at velocity level based on the momentum conservation law. Firstly, a general solution for inverse kinematics is proposed based on the concept of task priority. Secondly, in terms of pseudo-inverse and null-space components of the inertia matrix, the manipulator Jacobian matrix and the generalize...

Algorithms for planning quasistatic attitude maneuvers based on the Jacobian of the forward kinematic mapping of fully-reversed (FR) sequences of rotations are proposed in this paper. An FR sequence of rotations is a series of finite rotations that consists of initial rotations about the axes of a body-fixed coordinate frame and subsequent rotations that undo these initial rotations. Unlike the...

There are nontrivial dualities and parallels between polynomial algebras and the Grassmann algebras. This paper is an attempt to look at the Grassmann algebras at the angle of the Jacobian conjecture for polynomial algebras (which is the question/conjecture about the Jacobian set – the set of all algebra endomorphisms of a polynomial algebra with the Jacobian 1 – the Jacobian conjecture claims ...