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At last, some numerical validations on classical acoustic benchmark problems are shown to assess the new optimal MRT LBM.
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Some well-known benchmark problems are solved to show the capabilities of the method.
Several numerical benchmark problems are analyzed.
Some benchmark problems are solved to support our discussion.
Several benchmark problems are solved using the proposed method.
Numerical results for typical benchmark problems are presented and analyzed.
Implementations of the benchmark problems are provided as Additional files 2 and 3.
A system of benchmark problems is proposed for future reference.
Eight benchmark problems were used for evaluating the performance.
An overview of the collection of benchmark problems is presented in Table 1.
Benchmark numbers are shown in Fig. 1.
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