Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
A Sequel To βA Space Topologized By Functions From Omega To Omegaβ, Tetsuya Ishiu, Akira Iwasa
A Sequel To βA Space Topologized By Functions From Omega To Omegaβ, Tetsuya Ishiu, Akira Iwasa
Faculty Publications
We consider a topological space β¨π, π (β±)β©, where π = {π β} βͺ [π Γ ~ π] and β± β ππ. Each point in π Γ ~ π is isolated and a neighborhood of πβ has the form {πβ}βͺ{β¨π, πβ© : π β₯ π, π β₯ π(π)} for some π β π and π β β±. We show that there are subsets β± and π’ of ππ such that β± is not bounded, π’ is bounded, yet β¨π, π (β±)β© and β¨π, π (π’)β© are homeomorphic. This answers a question of the second author posed in A space topologized by functions β¦
On The Accuracy Of Explicit Finite-Volume Schemes For Fluctuating Hydrodynamics, Aleksandar Donev, Eric Vanden-Eijnden, Alejandro Garcia, John B. Bell
On The Accuracy Of Explicit Finite-Volume Schemes For Fluctuating Hydrodynamics, Aleksandar Donev, Eric Vanden-Eijnden, Alejandro Garcia, John B. Bell
Faculty Publications
This paper describes the development and analysis of finite-volume methods for the LandauβLifshitz NavierβStokes (LLNS) equations and related stochastic partial differential equations in fluid dynamics. The LLNS equations incorporate thermal fluctuations into macroscopic hydrodynamics by the addition of white noise fluxes whose magnitudes are set by a fluctuation-dissipation relation. Originally derived for equilibrium fluctuations, the LLNS equations have also been shown to be accurate for nonequilibrium systems. Previous studies of numerical methods for the LLNS equations focused primarily on measuring variances and correlations computed at equilibrium and for selected nonequilibrium flows. In this paper, we introduce a more systematic approach β¦