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The flow around an elliptic cylinder in the electromagnetic field is simulated numerically by the Lattice Boltzmann method (LBM). The effect of Lorentz force (electromagnetic force) acting on the flow of weak electric medium solution is investigated. A zero angle of attack, the small angles of attack are chosen to examine the effects of them on the flow. The flow past an elliptic cylinder with different shapes was computed by fixing the vertical semi axis length and varying the horizontal semi axis length. Numerical results verify that lattice Boltzmann method is suitable for simulating the flow around elliptic cylinder in electromagnetic field. Moreover, it confirms that Lorentz force can modify the boundary layer around an elliptic cylinder, prevent the boundary layer from separation, suppress the shedding of vortices, and reduce the drag. [ABSTRACT FROM PUBLISHER]

Basic theoretical functions of the volume of a horizontal elliptic cylinder with radial direction height are described in this paper. Through using some methods that include slicing, integral transformation, cutting and penalty method and multiple integrals, thus two generalized aspects are described: the function of the volume of a half ellipsoid-end-face elliptic cylinder with radial direction height; targets at the function of the volume of an inclined elliptic cylinder with radial direction height. Moreover, a generalization of the conclusions is outlined. [ABSTRACT FROM PUBLISHER]