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physics.comp-ph2015★ 7 cited
A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals
Rodrigo C. V. Coelho, Anderson Ilha, Mauro M. Doria
A lattice Boltzmann method is proposed based on the expansion of the equilibrium distribution function in powers of a new set of generalized orthonormal polynomials which are here…
physics.comp-ph2013★ 14 cited
Wavelet methods to eliminate resonances in the Galerkin-truncated Burgers and Euler equations
Rodrigo M. Pereira, Romain Nguyen-van-yen, Marie Farge +1
It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equation (and other hyperbolic conservation laws) do not converge to the physically relev…