The three–dimensional incompressible viscous Boussinesq equations, under the assumption of hydrostatic balance, govern the large scale dynamics of atmospheric and oceanic motion, and are commonly called the primitive equations. To overcome the turbulence mixing a partial vertical diffusion is usually added to the temperature advection (or density stratification) equation. In this paper we prove...

We propose a novel unified particle representation for fluids and solid boundaries in Implicit Incompressible SPH (IISPH). In contrast to existing particle representations, the proposed concept does not require a separate processing of fluid and boundary particles. On one hand, this results in a simplified solver implementation with improved efficiency. On the other hand, the unified fluid and ...

We will consider the inverse conductivity problem or Calderón problem [11] in three dimensions (and higher). The fundamental paper is the work of Sylvester and Uhlmann [23] which gives global uniqueness in the inverse conductivity problem in three dimensions. In this problem we want to find a coefficient in an elliptic differential operator The first step will be to recover the coefficient at t...

In quantum theory Hamilton operators with spininteractions have a long history [1 – 5]. Triple spin interaction have been studied by several authors [6 – 19]. Iglói [6] investigated an Ising model with three-spin interaction by finite-size scaling and applying free boundary conditions. Vanderzande and Iglói [7] studied the critical behaviour and logarithmic corrections of a quantum model with t...

in recent years, decrease in depth of uromia lake, has resulted in higher increase of salinity threat in agricultural lands around the lake. the aims of this study were 1- investigation of the spatial changes in soil salinity using the bayesian maximum entropy method (bme); 2- prediction of the boundary between saline and agricultural lands; and 3- assessment of the uncertainty involved with sa...

Available constraints on metamorphic reaction rates derived from the study of natural systems are similar to, or slightly lower than, the bulk strain rates measured in the same rocks. Here, we explore whether this apparent relationship is merely coincidence or due to a more fundamental mechanistic link between reaction and strain. Grain boundary migration accommodated dislocation creep (GBMDC) ...

In this paper we introduce a tool which is capable of verifying an 1149.1 test logic implementation and its compliance to the IEEE 1149.1 Standard [1][2] while providing a precise list of errors as well as good debug and diagnostic information using graphical analysis. The paper provides a review of the methods used to perform the logic verification. We introduce an efficient technique for veri...

Preconditioned iterative solution methods are compared with the direct Gaussian elimination method to solve dense linear systems Ax = b which originate from crack propagation problems, modeled and discretized by boundary element (BEM) techniques. Numerical experiments are presented and compared with the direct solution method available in a commercial BEM package. The experiments show that the ...

This paper is concerned with the first crossing of an order statistic point process through general moving boundaries. Our purpose is to determine exact boundary crossing probabilities in both one and two boundary cases. Simple recursive methods are obtained that exploit an underlying algebraic structure of polynomial type. This structure is a direct consequence of the order statistic property....