Numerical modeling of conjugate heat transfer on complex geometries with diagonal Cartesian method, part I: Methods

In this study, a diagonal Cartesian method for thermal analysis is develope d for simulation of conjugate heat transfer over complex boundaries. This m ethod uses diagonal line segments in addition to Cartesian line segments to approximate complex boundaries in Cartesian coordinates. The velocity fiel ds are also modeled using the diagonal Cartesian method. The transport equa tions are discretized with the finite analytic (FA) method. The current wor k is validated by simulating a rotated lid-driven cavity flow with conjugat e heat transfer, and accurate results are obtained.