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Abstract: Higher-order vector basis functions are described that provide a linear normal and quadratic tangential representation of a vector quantity on rectangular or triangular cells. These ...

where and are the components of X and H, respectively. We also assume that the Jacobian matrix exists and is continuous. It should be noted that Equation (2) is the vector version for systems of real ...

Abstract: Vector spherical harmonic analyses have been used effectively to solve laminar and mean-field magnetohydrodynamic dynamo problems with product interactions, such as magnetic induction, ...

Partial Differential Equations (PDEs) are mathematical equations that involve functions of several variables and their partial derivatives. They are fundamental in describing various physical ...

ABSTRACT: A kinetic flux-vector splitting (KFVS) scheme is applied for solving a reduced six-equation two-phase flow model of Saurel et al. [1]. The model incorporates single velocity, two pressures ...