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On the treatment of fluid problems by methods of Clifford analysis

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  • Sprössig, Wolfgang
  • Gürlebeck, Klaus

Abstract

We present a Clifford analysis approach to problems in fluid mechanics based on a suitable Clifford operator calculus. By way of illustration a non-linear stream problem with free convection is studied. The obtained representations and methods have to be complemented by explicit numerical calculations. For this reason we approximate our non-linear boundary value problems by finite difference methods. Analogously to the analytical considerations we apply a discrete function theory for lattice functions based on certain difference potentials to the discretized boundary value problem.

Suggested Citation

  • Sprössig, Wolfgang & Gürlebeck, Klaus, 1997. "On the treatment of fluid problems by methods of Clifford analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(4), pages 401-413.
    • Handle: RePEc:eee:matcom:v:44:y:1997:i:4:p:401-413
    DOI: 10.1016/S0378-4754(97)00066-9
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