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The model is solved using fixed grid explicit finite difference method.
Several approaches were developed to solve this moving boundary problem, fixed grid methods being the most widespread ones.
A transient phase change thermal storage system of the vertical tube type is studied using a fixed grid numerical model.
Even though very small cut cells can appear when moving an object through the fixed grid, the method is stable.
The zero phase-field contour is used to implicitly track the sharp interface on a fixed grid.
Interfacial source terms such as surface tension are computed on the front and transferred to the fixed grid.
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Our scheme is based on a combination of a fixed grid-based method, known for its scalability, and a region-based strategy, which provides greater accuracy than the fixed grid-based method.
As application example we show fluid-structure interaction scenarios simulated with fixed-grid fluid solvers.
The remesh-free property is the most attractive feature of the various versions of fixed-grid-based shape optimization methods.
To validate gridless DSMC, results of several benchmark simulations are compared to results from a fixed-grid code.
Conventional fixed-grid algorithms are susceptible to grid-mismatch to the physical system, resulting in erroneous solutions.
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