Fluid Dynamics pp 111-163 | Cite as

Flow Computation based on Kinematics

  • C. Pozrikidis

Abstract

Flows are classified according to the vorticity distribution as irrotational flows wherein the vorticity vanishes throughout the domain of flow, vortex flows characterized by the presence of compact regions of concentrated vorticity in an otherwise irrotational fluid, and rotational flows wherein the vorticity is significant throughout the domain of flow. In this chapter, we discuss the kinematical structure and mathematical description of the simplest class of irrotational flows. Specifically, we develop finite-difference methods for computing the velocity field from knowledge of the velocity distribution over the boundaries, and derive a class of elementary irrotational flows that serve as building blocks for generating desired solutions. Complementary building blocks associated with elementary vortex flows will provide us with additional degrees of freedom and will allow us to address more general configurations pertinent to a broader class of flow conditions.

Keywords

Circular Cylinder Velocity Potential Line Vortex Vortex Flow Flow Computation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • C. Pozrikidis
    • 1
  1. 1.University of CaliforniaSan Diego, La JollaUSA

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