کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
762403 1462741 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linearized-Boltzmann-type-equation-based finite difference method for thermal incompressible flow
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Linearized-Boltzmann-type-equation-based finite difference method for thermal incompressible flow
چکیده انگلیسی

This study reports on further development of a finite difference method formulated on the basis of a linearized-Boltzmann-type-equation for thermal incompressible flows with external body force effect. In classical lattice Boltzmann methods, a pressure-density relation, and/or a finite Mach number, no matter how small, are required in the solution of the linearized Boltzmann-type equation, thus generating inherent compressibility error unavoidably. In the present approach, the pressure field is determined by a pressure-correction method to ensure incompressibility, thus the approach is valid for both liquid and incompressible gas flows. A variety of thermal laminar incompressible flows, such as Couette flow, falling thin liquid film flow, fluid flow through porous plates, and two- and three-dimensional natural convection flow are simulated. The results compared extremely well with analytical solutions and other known numerical simulations of the thermal incompressible flows investigated.


► We develop a finite difference method for thermal incompressible flows.
► The formulation bases on a linearized Boltzmann-type equation.
► Neither a pressure–density relation nor a small Mach number assumption is required.
► The approach is valid for both liquid and incompressible gas flows.
► A variety of thermal incompressible flows are simulated for scheme validation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Fluids - Volume 69, 30 October 2012, Pages 67–80
نویسندگان
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