Stochastic Hydrodynamics
نویسندگان
چکیده
منابع مشابه
Hydrodynamics of Stochastic Cellular Automata *
We investigate a stochastic version of cellular automata used for simulating hydrodynamical flows, e. g. the HPP and FHP models. The extra stochasticity consists of "random exchanges" between neighboring cells which conserve momentum. We prove that, in suitable limits, these models satisfy the appropriate continuous Boltzmann and hydrodynamic equations, the same as those conjectured for the ori...
متن کاملStochastic simulation of reaction-diffusion systems: A fluctuating-hydrodynamics approach.
We develop numerical methods for stochastic reaction-diffusion systems based on approaches used for fluctuatinghydrodynamics (FHD). For hydrodynamicsystems, the FHD formulation is formally described by stochastic partial differential equations (SPDEs). In the reaction-diffusion systems we consider, our model becomes similar to the reaction-diffusion master equation (RDME) description when our S...
متن کاملSpatially Adaptive Stochastic Multigrid Methods for Fluctuating Hydrodynamics
The immersed boundary method is a numerical approach for simulating elastic structures which interact with a fluid flow. In many physical systems thermal fluctuations become significant at small scales and play a fundamental role. In this paper stochastic numerical methods are developed which extend the immersed boundary approach to account for thermal fluctuations by including appropriate stoc...
متن کاملStochastic hard-sphere dynamics for hydrodynamics of nonideal fluids.
A novel stochastic fluid model is proposed with a nonideal structure factor consistent with compressibility, and adjustable transport coefficients. This stochastic hard-sphere dynamics (SHSD) algorithm is a modification of the direct simulation Monte Carlo algorithm and has several computational advantages over event-driven hard-sphere molecular dynamics. Surprisingly, SHSD results in an equati...
متن کاملSolutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows
We introduce a special stochastic perturbation of the flow of diffuse matter as a curve in the group of diffeomorphisms of flat n-dimensional torus such that the perturbed system yields a solution of Burgers equation in the tangent space at unit of the diffeomorphism group. The same perturbation of the flow of perfect incompressible fluid yields a solution of Reynolds type equation but under so...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Current Developments in Mathematics
سال: 2000
ISSN: 1089-6384,2164-4829
DOI: 10.4310/cdm.2000.v2000.n1.a2