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Adaptive grid refinement is used to solve the equations.
Convergence under grid refinement is demonstrated for dendritic solidification problems.
Currently, grid refinement is the primary method used for error assessment.
Local grid refinement is implemented by several interpolation schemes in Musubi.
A new method for spatial grid refinement is developed and implemented.
Moreover, the idea of local grid refinement is proposed to eliminate the mixed integer problem of well placement.
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A new grid refinement was used to optimize fracturing parameters.
More advanced CFD algorithms, using high order discretization and/or local grid refinement, are better suited to tackle the problem.
Initially 180 simulations were carried out but some grid refinement was necessary for better capturing the variations of the concentration at outlets.
The data structure and searching algorithms necessary for efficient calculation on highly irregular grids obtained with local grid refinement are discussed in detail.
Specifically, three grid refinements were tested so as to have a y + < 1 for all the grids.
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