Low-variance deviational simulation Monte Carlo
نویسندگان
چکیده
منابع مشابه
Low-variance deviational simulation Monte Carlo
We present and discuss a particle simulation method for solving the Boltzmann equation which incorporates the variance reduction ideas presented in L. L. Baker and N. G. Hadjiconstantinou Physics of Fluids 17, 051703 2005 . The variance reduction, achieved by simulating only the deviation from equilibrium, results in a significant computational efficiency advantage for low speed flows compared ...
متن کاملA low-variance deviational simulation Monte Carlo for the Boltzmann equation
We present an efficient particle method for solving the Boltzmann equation. The key ingredients of this work are the variance reduction ideas presented in Baker and Hadjiconstantinou [L.L. Baker, N.G. Hadjiconstantinou, Variance reduction for Monte Carlo solutions of the Boltzmann Equation, Physics of Fluids, 17 (2005) (art. no, 051703)] and a new collision integral formulation which allows the...
متن کاملAdjoint-based deviational Monte Carlo methods for phonon transport calculations
In the field of linear transport, adjoint formulations exploit linearity to derive powerful reciprocity relations between a variety of quantities of interest. In this paper, we develop an adjoint formulation of the linearized Boltzmann transport equation for phonon transport. We use this formulation for accelerating deviational Monte Carlo simulations of complex, multiscale problems. Benefits i...
متن کاملDeviational particle Monte Carlo for the Boltzmann equation
The paper describes the deviational particle Monte Carlo method for the Boltzmann equation. The approach is an application of the general “control variates” variance reduction technique to the problem of solving a nonlinear equation. The deviation of the solution from a reference Maxwellian is approximated by a system of positive and negative particles. Previous results from the literature are ...
متن کاملVariance and Covariance Estimation in Stationary Monte Carlo Device Simulation
This work deals with the Monte Carlo method for stationary device simulation, known as the Single-Particle Monte Carlo method. A thorough mathematical analysis of this method clearly identifies the independent, identically distributed random variables of the simulated process. Knowledge of these random variables allows usage of straight-forward estimates of the stochastic error. The presented m...
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: Physics of Fluids
سال: 2007
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.2717721