Discrete Derivation of Ruijgrok and Wu's Nonlinear Two-Velocity Boltzmann Model with an Application to Traffic-Flow Modelling
نویسنده
چکیده
A variant of the Trotter-Kato approximation theorem is used to derive from a spacediscrete model the non-linear Boltzmann-like equations introduced by Th.W. Ruijgrok and T.T. Wu. The application include a micro-meso-macro link for cars in traffic.
منابع مشابه
Simulation of Micro-Channel and Micro-Orifice Flow Using Lattice Boltzmann Method with Langmuir Slip Model
Because of its kinetic nature and computational advantages, the Lattice Boltzmann method (LBM) has been well accepted as a useful tool to simulate micro-scale flows. The slip boundary model plays a crucial role in the accuracy of solutions for micro-channel flow simulations. The most used slip boundary condition is the Maxwell slip model. The results of Maxwell slip model are affected by the ac...
متن کاملLattice Boltzmann Method Application on Headwater at Lata Kinjang Waterfall, Malaysia
Headwater accident is a natural phenomenon that occurs in every flow channel, resulting in tremendous incidents that involve vulnerable lives and destruction of its surroundings. This study focuses on simulation of potential headwater accidents at Lata Kinjang waterfall (Perak, Malaysia) with the aim of understanding the behavior of headwater accidents from the hydraulic aspect. By deploying th...
متن کاملA hybrid scheme of single relaxation time lattice Boltzmann and finite volume methods coupled with discrete ordinates method for combined natural convection and volumetric radiation in an enclosure
This paper is focused on the application of hybrid Single relaxation time lattice Boltzmann and finite volume methods in conjunction with discrete ordinates method to simulate coupled natural convection and volumetric radiation in differentially heated enclosure, filled with an absorbing, emitting and non-scattering gray medium. In this work, the velocity and temperature fields are calculated u...
متن کاملCalculation of Friction Coefficient and Analysis of Fluid Flow in a Stepped Micro-Channel for Wide Range of Knudsen Number Using Lattice Boltzmann (MRT) Method
Micro scale gas flows has attracted significant research interest in the last two decades. In this research, the fluid flow of gases in the stepped micro-channel at a wide range of Knudsen number has been analyzed with using the Lattice Boltzmann (MRT) method. In the model, a modified second-order slip boundary condition and a Bosanquet-type effective viscosity are used to consider the veloci...
متن کاملNumerical 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 کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Multiscale Modeling & Simulation
دوره 2 شماره
صفحات -
تاریخ انتشار 2004