Least-Squares Method for Laminar Flow Problems

  • Jean-Jacques Chattot
Conference paper
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 78)


A least-squares method is used to solve viscous flows encountered in boundary-layers problem. The formulation is described and the minimization equations derived are discretized with a second-order finite difference scheme. The set of algebraic equations is solved by line relaxation. One of the attractive features of the least-squares formulation is that the system behaves well in the presence of separation and reverse flow, as is demonstrated in the case of the boundary-layer flow with adverse pressure gradient.


Computational Fluid Dynamics Finite Difference Scheme Adverse Pressure Gradient Minimization Equation Provide Boundary Condition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean-Jacques Chattot
    • 1
  1. 1.Department of Mechanical and Aeronautical EngineeringUniversity of CaliforniaDavisUSA

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