RT Journal Article T1 A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems A1 Carpio Huertas, Jaime A1 Prieto, Juan Luis A1 Vera Coello, Marcos AB A novel numerical algorithm for the simulation of transient combustion problems at low Mach and moderately high Reynolds numbers is presented. These problems are often characterized by the existence of a large disparity of length and time scales, resulting in the development of directional flow features, such as slender jets, boundary layers, mixing layers, or flame fronts. This makes local anisotropic adaptive techniques quite advantageous computationally. In this work we propose a local anisotropic refinement algorithm using, for the spatial discretization, unstructured triangular elements in a finite element framework. For the time integration, the problem is formulated in the context of semi-Lagrangian schemes, introducing the semi-Lagrange-Galerkin (SLG) technique as a better alternative to the classical semi-Lagrangian (SL) interpolation. The good performance of the numerical algorithm is illustrated by solving a canonical laminar combustion problem: the flame/vortex interaction. First, a premixed methane-air flame/vortex interaction with simplified transport and chemistry description (Test I) is considered. Results are found to be in excellent agreement with those in the literature, proving the superior performance of the SLG scheme when compared with the classical SL technique, and the advantage of using anisotropic adaptation instead of uniform meshes or isotropic mesh refinement. As a more realistic example, we then conduct simulations of non-premixed hydrogenair flame/ vortex interactions (Test II) using a more complex combustion model which involves state-of-the-art transport and chemical kinetics. In addition to the analysis of the numerical features, this second example allows us to perform a satisfactory comparison with experimental visualizations taken from the literature. PB Elsevier SN 0021-9991 YR 2016 FD 2016-02-01 LK https://hdl.handle.net/10016/34152 UL https://hdl.handle.net/10016/34152 LA eng NO This research has been partially funded by projects MTM2010-18079 and CSD2010-00011 (CONSOLIDER-INGENIO) of the Spanish "Ministerio de Economía y Competitividad". The authors would like to thank Professors A. Liñán and R. Bermejo their priceless dedication and fruitful discussions, which have tremendously helped in our understanding of the physical phenomena involved in combustion problems, and in the development of the numerical methods suitable for integrating the equations of fluid mechanics. DS e-Archivo RD 1 sept. 2024