Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations∗∗∗

Siddhartha Mishra; Eitan Tadmor

Displaying similar documents to “Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations∗∗∗”

Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations

Siddhartha Mishra, Eitan Tadmor (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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We design efficient numerical schemes for approximating the MHD equations in multi-dimensions. Numerical approximations must be able to deal with the complex wave structure of the MHD equations and the divergence constraint. We propose schemes based on the genuinely multi-dimensional (GMD) framework of [S. Mishra and E. Tadmor, (2010) 688–710; S. Mishra and E. Tadmor, (2011) 1023–1045]. The schemes are formulated in terms of . A suitable choice of the...

A well-balanced finite volume scheme for 1D hemodynamic simulations

Olivier Delestre, Pierre-Yves Lagrée (2012)

ESAIM: Proceedings

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We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of = 0. This numerical method is tested on analytical tests.

The mixed regularity of electronic wave functions multiplied by explicit correlation factors

Harry Yserentant (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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The electronic Schrödinger equation describes the motion of electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3 variables, three spatial dimensions for each electron. Approximating them is thus inordinately challenging. As is shown in the author's monograph [Yserentant, , Springer (2010)], the regularity of the solutions, which increases with the number of electrons,...