This paper describes a methodology that enables NURBS (Non-Uniform Rational B-spline) based Isogeometric Analysis (IGA) to be locally refined. The is applied continuous Bubnov-Galerkin IGA spatial discretisations of second-order forms the neutron transport equation. In particular this focuses on self-adjoint angular flux (SAAF) and weighted least squares (WLS) equations. Local refinement achiev...

in this study, a pellet scale model was developed for trickle bed reactor utilizing cfd techniques. drag coefficients were calculated numerically at different velocities and bulk porosities in the case of single phase flow through the dry bed. the simulation results were then compared with the prediction of kozeny-carman (k-c) equation. the results indicated that drag coefficients calculated fr...

where a, b Î R with a <b, and the constant 4 cannot be replaced by a larger number, where and in the sequel q(t) = max{q(t), 0}. Since then, there are many improvements and generalizations of (1.2) in some literatures. Especially, Lyapunov inequality has been generalized extensively to the higher-order linear equations and the linear Hamiltonian systems. A thorough literature review of continuo...

Grandin, M. 2014. Adaptive Solvers for High-Dimensional PDE Problems on Clusters of Multicore Processors. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology 1199. 34 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9095-9. Accurate numerical solution of time-dependent, high-dimensional partial differential equations (PDEs) usually req...

This paper describes an approach for the numerical solution of time-dependent partial differential equations in complex three-dimensional domains. The domains are represented by overlapping structured grids, and block-structured adaptive mesh refinement (AMR) is employed to locally increase the grid resolution. In addition, the numerical method is implemented on parallel distributed-memory comp...

Methods Practice-based research was used to collect client data (N=321) before and after a massage provided by one of 24 licensed massage therapists in Iowa. The pre-massage survey included items regarding their chief complaint, the client expectations of massage scale, the numeric rating scale for pain, and the Positive and Negative Affect Schedule Expanded form (PANAS-X). The post-massage sur...

We present an adaptive mesh and algorithmic refinement (AMAR) scheme for modeling multi–scale hydrodynamics. The AMAR approach extends standard conservative adaptive mesh refinement (AMR) algorithms by providing a robust flux–based method for coupling an atomistic fluid representation to a continuum model. The atomistic model is applied locally in regions where the continuum description is inva...

Functional synapse elimination and strengthening are crucial developmental processes in the formation of precise neuronal circuits in the somatosensory system, but the underlying alterations in topographical organization are not yet fully understood. To address this issue, we generated transgenic mice in which afferent fibers originating from the whisker-related brain region, called the maxilla...