Comparison of analysis techniques for the lattice Boltzmann method
Citations
283 citations
Cites background or methods from "Comparison of analysis techniques f..."
...The classical Chapman–Enskog (CE) analysis is closely related to the asymptotic analysis [51]....
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...Although the former is a powerful tool to show that the LBE reproduces certain partial differential equations, the dependence of the numerical solution on the expansion parameter is not immediately clear [51]....
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Cites methods from "Comparison of analysis techniques f..."
...The CE expansion has been extensively applied to recover the conservation equations from various formulations of LBE [12–25]....
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18 citations
Cites methods from "Comparison of analysis techniques f..."
...The asymptotic analysis is similar to the Chapman–Enskog analysis [6,7], which is the most widely used method for the analysis of the LB equation, but is essentially different in that the analysis proceeds order by order in the expansion in terms of the powers of the small parameter representing the grid interval [5]....
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References
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