This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative...
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This paper is to study extension of high resolution kinetic flux-vector splitting (KFVS) methods. In this new method, two Maxwellians are first introduced to recover the Euler equations with an additional conservative equation. Next, based on the well-known connection between the Euler equations and Boltzmann equations, a class of high resolution KFVS methods are presented to solve numerically multicomponent flows. Our method does not solve any Riemann problems, and add any nonconservative corrections. The numerical results are also presented to show the accuracy and robustness of our methods. These include one-dimensional shock tube problem, and two-dimensional interface motion in compressible flows. The computed solutions are oscillation-free near material fronts, and produce correct shock speeds.
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