A fast spectral method for the Boltzmann equation for monatomic gas mixtures

نویسندگان

  • Lei Wu
  • Jun Zhang
  • Jason M. Reese
  • Yonghao Zhang
چکیده

Although the fast spectral method has been established for solving the Boltzmann equation for single-species monatomic gases, its extension to gas mixtures is not easy because of the non-unitary mass ratio between the di↵erent molecular species. The conventional spectral method can solve the Boltzmann collision operator for binary gas mixtures but with a computational cost of the order m

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

INELASTIC LIGHT SCATTERING FROM THERMAL FLUCTUATIONS IN GASES by NOEL

We have studied the Brillouin spectrum of light scattered by the dilute monatomic one component gases xenon and helium and by the xenon-helium binary gas mixture. In a one component monatomic gas the scattered light spectrum for a scattering process with momentum transfer, K, and energy transfer, w, is proportional to the power spectrum, S(K, W), of fluctuations in the density of the gas. In a ...

متن کامل

Deterministic numerical solutions of the Boltzmann equation using the fast spectral method

The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot and Pareschi for the numerical approximation of the collision operator, is extended to deal with other collision kernels, such as those corres...

متن کامل

A spectral-Lagrangian Boltzmann solver for a multi-energy level gas

In this paper a spectral-Lagrangian method for the Boltzmann equation for a multi-energy level gas is proposed. Internal energy levels are treated as separate species and inelastic collisions (leading to internal energy excitation and relaxation) are accounted for. The formulation developed can also be used for the case of a mixture of monatomic gases without internal energy (where only elastic...

متن کامل

Numerical simulation of a three-layered radiant porous heat exchanger including lattice Boltzmann simulation of fluid flow

This paper deals with the hydrodynamic and thermal analysis of a new type of porous heat exchanger (PHE). This system operates based on energy conversion between gas enthalpy and thermal radiation. The proposed PHE has one high temperature (HT) and two heat recovery (HR1 and HR2) sections. In HT section, the enthalpy of flowing high temperature gas flow that is converted to thermal radiation em...

متن کامل

Solving the Boltzmann equation on GPUs

We present algorithms specifically tailored for solving kinetic equations onto graphics processing units. Unlike particle methods, the proposed methods of solution are ideally suited for solving the unsteady low speed flows which typically occur in MEMS containing oscillating components. The efficiency of the algorithms is demonstrated by solving the two-dimensional low Mach number driven cavit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • J. Comput. Physics

دوره 298  شماره 

صفحات  -

تاریخ انتشار 2015