Improved NGP and CIC particle-mesh schemes are suggested, and a NEC scheme proposed, to help reduce self forces in Monte Carlo semiconductor device simulation. An attempt to design a scheme with reduced self forces for unstructured triangular meshes is unsuccessful.

Theoretically and computationally, it is possible to demonstrate that the order of accuracy of a discontinuous Galerkin (DG) solution for linear hyperbolic equations can be improved from order k+1 to 2k+1 through the use of smoothness-increasing accuracy-conserving (SIAC) filtering. However, it is a computationally complex task to perform this in an efficient manner, which becomes an even great...

In this dissertation we present two kinds of multidimensional schemes for hyperbolic systems based on triangular meshes. The first kind of schemes are evolution Galerkin schemes (EG) which are truly multidimensional schemes and the second kind is a new space-time conservative central-type method which we name a slope propagation (SP) method. Our first scheme is an extension of the EG schemes fo...

Abstract In [22], two of the authors constructed uniformly high order accurate finite volume and discontinuous Galerkin (DG) schemes satisfying a strict maximum principle for scalar conservation laws on rectangular meshes. The technique is generalized to positivity preserving (of density and pressure) high order DG or finite volume schemes for compressible Euler equations in [23]. The extension...

Stokes flow is fluid flow where advective inertial forces are negligibly small compared to viscous forces. This is a typical situation on a microscale or when the fluid velocity is very small. Stokes flow is a good and important approximation for a number of physical problems such as sedimentation, modeling of biosuspensions, construction of efficient fibrous filters, developing energy efficien...

In this paper, we adapt a simple weighted essentially non-oscillatory (WENO) limiter, originally designed for discontinuous Galerkin (DG) schemes on two-dimensional unstructured triangular meshes [35], to the correction procedure via reconstruction (CPR) framework for solving nonlinear hyperbolic conservation laws on two-dimensional unstructured triangular meshes with straight edges or curved e...

INTRODUCTION Simulation of constant-viscosity memory-fluids flows is undertaken, considering single-mode differential models and two different numerical schemes. Comparisons are performed against experimental observations, for pressure drop (∆P ) and vortex cell-size (X). We interpret such issues through increasing flow-rate for a given fluid. Tests have demonstrated that this is equivalent to ...