Impact of inhomogeneous unsteady participating media in a coupled convection–radiation system using finite element based methods
نویسندگان
چکیده
• A new non-uniform discretisation of the absorption distribution function (ADF) is introduced for gas radiation modelling. Better handling energy groups with low Planck coefficient. Non-uniform ADF improves performance spherical harmonics method. mitigates ray-effects that can result from use finite elements angular discretisation. Capability to handle inhomogeneous participating media which change in space, time, and cross section values. Combined convection–radiation a common phenomenon many engineering problems. differentially–heated rectangular enclosure widely–used benchmark testing numerical techniques developed solving coupled momentum equations related combined convection–radiation. Previous studies have tended describe cases using simplified characteristics including assumptions of: ( i ) uniform distribution, ii homogeneous section, iii grey iv under steady state conditions. The effects an unsteady media, e.g. composed mixture gases, are arguably understudied. In this work effect on inside considered, both non-grey modelling approaches involving gases. key novelty inclusion ability time values as coupling, allowing us assess different approaches. global model used non–uniform method introduced; allows better those coefficient low, improving mitigating ray–effects angle solved numerically element based methods. radiative transfer equation discretisation, their relative compared. results highlight importance convection therefore resulting temperature field.
منابع مشابه
Dynamic Response of the Coupled Vehicle-Floating Slab Track System using Finite Element Method
In present study, a mathematical model of the vehicle–floating slab track (FST) interaction is established to investigate the coupled behaviour of vehicle–track system. The FST is modelled as the double Euler -Bernoulli beam including the rail and slab. The railway vehicle is simplified as a multi-rigid-body model. The wheel–rail interface is treated using a nonlinear Hertzian contact model, co...
متن کاملAnalysis of Acoustic Wave in Homogeneous and Inhomogeneous Media Using Finite Element Method
متن کامل
Fast Approximation of Multiple Scattering in Inhomogeneous Participating Media
This paper presents a fast approximation for the solution of the radiative transfer equation in inhomogeneous participating media. This scheme traces rays from the point light creating spherical wavefronts. While we march on a particular ray, we assume that other rays find similar material properties, which allows the solution of the diffusion equation for this ray. The proposed approximation o...
متن کاملPhysically-Based Surface Texture Synthesis Using a Coupled Finite Element System
This paper describes a stable and robust finite element solver for physically-based texture synthesis over arbitrary manifold surfaces. Our approach solves the reaction-diffusion equation coupled with an anisotropic diffusion equation over surfaces, using a Galerkin based finite element method (FEM). This method avoids distortions and discontinuities often caused by traditional texture mapping ...
متن کاملFree Path Sampling in High Resolution Inhomogeneous Participating Media
This paper presents efficient algorithms for free path sampling in heterogeneous participating media defined either by high-resolution voxel arrays or generated procedurally. The method is based on the concept of mixing “virtual” material or particles to the medium, augmenting the extinction coefficient to a function for which the free path can be sampled in a straightforward way. The virtual 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: International Journal of Heat and Mass Transfer
سال: 2021
ISSN: ['1879-2189', '0017-9310']
DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2021.121452