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Modal reduction of an advection-diffusion model using a branch basis

Abstract : We propose an original method to reduce an advection-diffusion model in which parameters, as well as boundary conditions, are time-dependent. This modal method uses a branch basis, which differs from the Fourier one by a Steklov boundary condition. The treated application is a disk rotating at a variable velocity, with time-dependent volume and superficial thermal inputs. Comparison between the detailed model and the reduced one gives a gain in computational time of 24 times with a maximal error of less than 10%, opening the way to real-time simulation.
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Submitted on : Thursday, July 23, 2015 - 5:06:36 PM
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Frédéric Joly, Olivier Quéméner, Alain Neveu. Modal reduction of an advection-diffusion model using a branch basis. Numerical Heat Transfer, Part B Fundamentals, Taylor & Francis, 2008, 53 (5), pp.466--485. ⟨10.1080/10407790701849550⟩. ⟨hal-01179999⟩



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