An Immersed Boundary Method for Conjugate Heat Transfer Problems

Tullio, Marco D. de; Latorre, Salvador; Palma, P. De; Napolitano, M.; Pascazio, G.

doi:10.1115/fedsm-icnmm2010-30694

Cited by 3 publications

(1 citation statement)

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“…Some of the authors have extended the IBM to the preconditioned compressible URANS equations in order to solve complex flows at any value of the Mach number (De Palma et al, 2006), equipped it with a local mesh refinement procedure to resolve boundary layers and regions with high flow gradients (de Tullio et al, 2007), and later coupling it with the heat conduction equation, as a predictive tool for CHT problems (de Tullio et al, 2010). More in detail: first, the immersed boundary (IB) grid generator detects the position of each cell of the Cartesian grid with respect to the geometry, discretized by a surface mesh consisting of triangular elements, and divides the cells into four types: solid and fluid cellswhose centres lie within the body and within the fluid, respectively; fluid-and solid-interface cells, that have at least one of their neighbours inside and outside the body, respectively; second, the URANS equations are solved at all internal fluid cells, whereas the heat conduction equation is solved at all internal solid cells using the same spatial discretization and time-marching scheme; third, the boundary conditions, which account for the presence of the body are imposed at the fluid-/solid-interface cells, using a local interpolation procedure; and fourth, the interface boundary conditions requiring that both the temperature and heat flux are the same for the fluid and the solid at all boundary points are imposed by a CHT approach.…”

Section: Introductionmentioning

confidence: 99%

Improving a conjugate-heat-transfer immersed-boundary method

Marinis

Tullio

Napolitano

et al. 2016

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose – The purpose of this paper is to provide the current state of the art in the development of a computer code combining an immersed boundary method with a conjugate heat transfer (CHT) approach, including some new findings. In particular, various treatments of the fluid-solid-interface conditions are compared in order to determine the most accurate one. Most importantly, the method is capable of computing a challenging three dimensional compressible turbulent flow past an air cooled turbine vane. Design/methodology/approach – The unsteady Reynolds-averaged Navier–Stokes (URANS) equations are solved within the fluid domain, whereas the heat conduction equation is solved within the solid one, using the same spatial discretization and time-marching scheme. At the interface boundary, the temperatures and heat fluxes within the fluid and the solid are set to be equal using three different approximations. Findings – This work provides an accurate and efficient code for solving three dimensional CHT problems, such as the flow through an air cooled gas turbine cascade, using a coupled immersed boundary (IB) CHT methodology. A one-to-one comparison of three different interface-condition approximations has shown that the two multidimensional ones are slightly superior to the early treatment based on a single direction and that the one based on a least square reconstruction of the solution near the IB minimizes the oscillations caused by the Cartesian grid. This last reconstruction is then used to compute a compressible turbulent flow of industrial interest, namely, that through an air cooled gas turbine cascade. Another interesting finding is that the very promising approach based on wall functions does not combine favourably with the interface conditions for the temperature and the heat flux. Therefore, current and future work aims at developing and testing appropriate temperature wall functions, in order to further improve the accuracy – for a given grid – or the efficiency – for a given accuracy – of the proposed methodology. Originality/value – An accurate and efficient IB CHT method, using a state of the art URANS parallel solver, has been developed and tested. In particular, a detailed study has elucidated the influence of different interface treatments of the fluid-solid boundary upon the accuracy of the computations. Last but not least, the method has been applied with success to solve the well-known CHT problem of compressible turbulent flow past the C3X turbine guide vane.

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Section: Introductionmentioning

confidence: 99%