Coupling heat conduction, radiation and convection in complex geometries

Abstract

In many industrial applications, convection radiation and conduction participate simultaneously to the heat transfers. A numerical approach able to cope with such problems has been developed. The code SYRTHES is tackling conduction and radiation (limited to non participating medium). Radiation is solved by a radiosity approach, and conduction by a finite element method. Accurate and efficient algorithms based on a mixing of analytical/numerical integration, and ray tracing techniques are used to compute the view factors. The fluid part is solved by CFD codes like ESTET (Finite volumes) or N3S (Finite elements). SYRTHES relies on an explicit numerical scheme to couple all the phenomena. No stability problems have been encountered. To provide further flexibility, the three phenomena are solved on three independent grids. All data transfers being automatically taken care of by SYRTHES. Illustrating applications are shown. Equations to be solvedThe conduction part SYRTHES is a general purpose conduction code which solves the conduction equation by a finite element method on unstructured grids. All material

U-RANS Simulation of Mixed-Convection Around a Finite Wall-Mounted Heated Cylinder Cooled by Cross-Flow

“…The solid code Syrthes [9] is coupled with Code_Saturne to compute the cylinder temperature. It uses a finite element technique to solve the following general heat equation where all properties can be time, space or temperature dependent.…”

“…T is the temperature, Φ v a volumic source or sink, ρ and C p , respectively the density and the specific heat. More details on the possibilities of the finite element code Syrthes can be found in [9]. Like Code_Saturne, Syrthes has been checked thoroughly against experimental and analytical test cases proving that it gives very accurate solutions in problems similar to the present one.…”

“…The purpose of this paper is to present the results of a k-ω SST model on several test cases. The numerical tools used herein are Code_Saturne, EDF finite volume CFD code [2], and Syrthes, EDF finite element code for solid temperatures [9]. For the studied test-cases, Reynolds and Grashof numbers are characteristic of a subcritical flow regime with laminar boundary layers around the cylinder and a turbulent wake.…”

Immersed volume method for solving natural convection, conduction and radiation of a hat‐shaped disk inside a 3D enclosure

“…We especially insist on the representation of the physical domains (air and solid in the present case), and how to deal with these domains both in terms of accuracy and conjugate heat transfer. In recent years, there has been increasing interest in studying numerically a variety of engineering applications that involve coupling between different physical phenomena (Felippa, 1988;Rupp and Peniguel, 1999;Houzeaux and Codina, 2003;Principe and Codina, 2009;Shuja et al, 2009). Most of the time, such analyses may be accomplished by dividing the global domain into several local subdomains over each of which a local model (equation to be solved) can be analyzed independently.…”

Thermal Analysis of High Level Waste Geological Disposal Module With the Thermal Code SYRTHES

“…That code computes the nuclear material fluxes at all steps of the nuclear fuel cycle, including the back-end of the cycle with the high level waste (HLW) glass canisters production, but a thermal repository model is still required. This thermal aspect is handled thanks to the open source thermal code SYRTHES (see [3,4]), developed at EDF. It is used to simulate the thermal behavior of the glass canister and the surrounding clay.…”