Partial synchronization and clustering in a system of diffusively coupled chaotic oscillators
Mathematics and Computers in Simulation
A new adaptive mesh refinement strategy for numerically solving evolutionary PDE's
Journal of Computational and Applied Mathematics
Autonomous Leaves Graph Applied to the Boundary Layer Problem
ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I
Mathematics and Computers in Simulation
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The Boundary Layer is a fluid layer in the neighborhood of a surface. It is important in many disciplines related to Physics and Fluid Mechanics, which aerodynamics is an example. This paper presents a 2D numerical simulation of this problem considering an incompressible laminar flux in steady state with non-slip condition. An adaptive mesh refinement is carried out by the Autonomous Leaves Graph with finite volume discretizations. The Modified Hilbert Curve is implemented to traverse and provide the total ordering of the finite volumes. Flux simulations are presented around a non-symmetric airfoil NACA2415 shape. The results show evidences that the adaptive mesh refinement scheme is adequate for numerical solution of this type of problem.