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A calculation procedure is proposed for heat and fluid flows in geometries with a time‐dependent boundary. The procedure incorporates a moving mesh arrangement with multi‐block iteration and has been developed to assist future simulations of heat and mass transfer with phase change. The solver for the basic equations is the SIMPLE algorithm with a non‐staggered grid arrangement. The space conservation law is invoked and applied for the explicit tracking of a moving boundary with a moving mesh. For mapping complex geometries a multi‐block iteration strategy is employed. A cubic spline interpolation allows the “uniqueness of zonal boundary” requirement to be met. An interpolation method is also developed for variables near the zone boundaries.The calculation procedure using multi‐block iteration and a moving mesh is applied to three benchmark‐testing problems. The numerical results are in very good general agreement with available experimental data.

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