This study investigates the accuracy of various Richardson extrapolation-based discretization error and uncertainty estimators for problems in computational fluid dynamics. Richardson extrapolation uses two solutions on systematically refined grids to estimate the exact solution to the partial differential equations and is accurate only in the asymptotic range (i.e., when the grids are sufficie...

Henry Richardson's Articulating the Moral Community is a wide-ranging and remarkably creative book.1 In these comments, I focus on his account of phenomenon “moral innovation.” innovation process by which new moral norms come to be authoritatively binding ethical judgments objectively true. this essay, review how why problem arises, summarize 3-step new, objective may created, pose series quest...

Let G be a simple algebraic group of classical type over an algebraically closed field k. Let P be a parabolic subgroup of G and let p = LieP be the Lie algebra of P with Levi decomposition p = l⊕ u, where u is the Lie algebra of the unipotent radical of P and l is a Levi complement. Thanks to a fundamental theorem of R. W. Richardson ([16]), P acts on u with an open dense orbit; this orbit is ...

Parabolic subalgebras of semi-simple Lie algebras decompose as p = m⊕ n where m is a Levi factor and n the corresponding nilradical. By Richardsons theorem [R], there exists an open orbit under the action of the adjoint group P on the nilradical. The elements of this dense orbits are known as Richardson elements. In this paper we describe a normal form for Richardson elements in the classical c...

mixed convection of al 2 o 3 -water nanofluid in a square microcavity is investigated numerically. governing equations are discretized and solved using the finite volume method and simpler algorithm. the knudsen number is selected between 0.001 and 0.1 to consider slip velocity and the jump temperature boundary conditions. results showed that nusselt number is a function of richardson number, k...

sometimes referred with very natural pride. It was in 1878 that he was invited to come to University College, Bristol, as Lecturer in Anatomy, and in the same year he was appointed Assistant Surgeon to the Bristol Royal Infirmary. A year later he became full surgeon, and in 1880 he was appointed Dean of the Faculty of Medicine at University College. Thus, to use his own expression, he had not b...