Lattice Boltzmann model with generalized wall boundary conditions for arbitrary catalytic reactivity

نویسندگان

چکیده

A lattice Boltzmann model for multispecies flows with catalytic reactions is developed, which valid from very low to high surface Damk\"ohler numbers (${\text{Da}}_{\text{s}}$). The previously proposed [S. Arcidiacono, J. Mantzaras, and I. V. Karlin, Phys. Rev. E 78, 046711 (2008)], applicable low-to-moderate ${\text{Da}}_{\text{s}}$ encompasses part of the mixed kinetics transport-controlled regime, revisited extended simulation arbitrary kinetics-to-transport rate ratios, including strongly conditions (${\text{Da}}_{\text{s}}\ensuremath{\rightarrow}\ensuremath{\infty}$). boundary condition modified by bringing nonlocal information on wall reactive nodes, allowing accurate evaluation chemical rates even when concentration deficient reactant at becomes vanishingly small. developed validated against a finite volume Navier-Stokes CFD (Computational Fluid Dynamics) solver total oxidation methane in an isothermal channel-flow configuration. simulations old new reaction models are compared each other. demonstrates second order accuracy space time provides results ($\ensuremath{\sim}{\text{10}}^{\text{9}}$) where fails. Moreover, achieve same moderate-to-high $O(1)$, requires $\ensuremath{\sim}{2}^{d}\ifmmode\times\else\texttimes\fi{}N$ coarser grid than original model, $d$ spatial dimension $N$ number species.

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lees-Edwards boundary conditions for Lattice Boltzmann

Lees-Edwards boundary conditions (LEbc) for Molecular Dynamics simulations [1] are an extension of the well known periodic boundary conditions and allow the simulation of bulk systems in a simple shear flow. We show how the idea of LEbc can be implemented in lattice Boltzmann simulations and how LEbc can be used to overcome the problem of a maximum shear rate that is limited to less then 1/Ly (...

متن کامل

Boundary conditions for the lattice Boltzmann method

Based on the no-slip boundary condition for walls at rest for the lattice Boltzmann Bathnagar-Gross-Krook method by J.C.G. Verschaeve [10], a no-slip boundary condition for walls with a tangential movement is derived. Numerical tests verify that the present boundary condition is second order accurate and stable for relaxation frequencies close to two.

متن کامل

Implementation of D3Q19 Lattice Boltzmann Method with a Curved Wall Boundary Condition for Simulation of Practical Flow Problems

In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...

متن کامل

Boundary conditions for free interfaces with the lattice Boltzmann method

In this paper we analyze the boundary treatment of the Lattice Boltzmann method for simulating 3D flows with free surfaces. The widely used free surface boundary condition of Körner is shown to be first order accurate. The article presents new free surface boundary schemes that are suitable for the lattice Boltzmann method and that have second order spatial accuracy. The new method takes the fr...

متن کامل

Analysis of Lattice Boltzmann Boundary Conditions

In this dissertation, we investigate a class of standard linear and nonlinear lattice Boltzmann methods from the point of view of mathematical analysis. First we study the consistency of the lattice Boltzmann method on a bounded domain by means of asymptotic analysis. From the analysis of the lattice Boltzmann update rule, we find a representation of the lattice Boltzmann solutions in form of t...

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

ژورنال

عنوان ژورنال: Physical Review E

سال: 2021

ISSN: ['1550-2376', '1539-3755']

DOI: https://doi.org/10.1103/physreve.103.063303