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    ARTICLE

    Expression for the Gradient of the First Normal Derivative of the Velocity Potential

    Zai You Yan1

    CMES-Computer Modeling in Engineering & Sciences, Vol.46, No.1, pp. 1-20, 2009, DOI:10.3970/cmes.2009.046.001

    Abstract It is well-known that the velocity potential and its first normal derivative on the structure surface can be easily found in the boundary element method for problems of potential flow. Based on an investigation in progress, the gradient of the normal derivative of the velocity potential will be very helpful in the treatment of the so-called hypersingular integral. Through a coordinate transformation, such gradient can be expressed by the combination of the first and the second normal derivatives of the velocity potential. Then one interesting problem is how to find the second normal derivative of the velocity potential through the… More >

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