Abstract. Steady-state two-dimensional laminar natural convection in an infinite doubly-connected region with sudden expansion is analyzed numerically, using a spectral finite difference scheme. The region is assumed to be one with a nearly circular cylinder inside. A boundary-fitted conformal map is generated analytically through a shift factor together with a multiplication factor. In addition, transformation of a variable is adopted to support the condition for an artificially generated boundary (not univalent with zero measure).

Received: March 24, 2011

AMS Subject Classification: 30C20, 30C30, 30C50, 76D05, 76R10

Key Words and Phrases: conformal mapping, spectral analysis, natural convection

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