On the 3-D inverse potential target pressure problem. Part 1. Theoretical aspects and method formulation
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Papailiou, KD
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Chaviaropoulos, P
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Dedoussis, V
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An inverse potential method is introduced to solve the fully 3-D target pressure problem. The method is based on a potential function/stream function formulation, where the physical space is mapped onto a computational one via a body-fitted coordinate transformation. A novel procedure based on differential geometry and generalized tensor analysis is used to formulate the method. The governing differential equations are derived by requiring the curvature tensor of the flat 3-D physical Eucledian space to be zero. The resulting equations are discussed and investigated with particular emphasis on the existence and uniqueness of their solution.
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journalArticle
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Partial differential equations
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Computational fluid dynamics
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Computational Fluid Dynamics
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Ducts
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Mathematical transformations
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Target Pressure
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Three dimensional inverse potential target pressure problem
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