Adaptive partitioning-based discrete unified gas kinetic scheme for flows in all flow regimes

Advances in Aerodynamics

Table 1 Number of DUGKS cells, memory consumption (MByte) and computational time (hours) of different methods for flow around a flat plate with different Reynolds numbers

Re	Kn	DUGKS			ADUGKS			Ratio
Re	Kn	Cells (\(N_{D}\))	Memory (\(M_{D}\))	Time (\(T_{D}\))	Cells (\(N_{A}\))	Memory (\(M_{A}\))	Time (\(T_{A}\))	\({{N_{D} } \mathord{\left/ {\vphantom {{N_{D} } {N_{A} }}} \right. \kern-0pt} {N_{A} }}\)	\({{M_{A} } \mathord{\left/ {\vphantom {{M_{A} } {M_{D} }}} \right. \kern-0pt} {M_{D} }}\)	\({{T_{D} } \mathord{\left/ {\vphantom {{T_{D} } {T_{A} }}} \right. \kern-0pt} {T_{A} }}\)
0.2	1.25	3072	456.1	0.092	3072	456.1	0.096	1.000	1.000	0.958
0.5	0.499	6912	1020.5	0.539	6912	1020.6	0.566	1.000	1.000	0.952
1	0.250	6912	1020.5	0.586	6912	1020.6	0.615	1.000	1.000	0.953
2	0.125	6912	1020.5	0.819	6912	1020.6	0.827	1.000	1.000	0.990
5	0.0499	6912	1020.5	1.064	6912	1020.6	1.088	1.000	1.000	0.978
10	0.0250	7680	1133.6	1.694	7618	1130.6	1.754	1.008	0.997	0.966
20	0.0125	7680	1133.6	2.162	7454	1122.6	2.139	1.030	0.990	1.011
50	0.00499	7680	1133.6	2.763	7099	1105.1	2.756	1.082	0.975	1.003
400	0.000624	8448	1246.4	4.406	6556	1063.2	4.149	1.289	0.853	1.062
1000	0.000250	9216	1359.8	5.943	6243	1013.1	5.597	1.476	0.745	1.062
2000	0.000125	9216	1359.8	7.154	5204	845.8	6.244	1.771	0.622	1.146
5000	0.0000499	9984	1472.1	9.562	5096	825.7	7.779	1.959	0.561	1.229
400^a	0.000624	6912	107.0	0.598	3378	59.6	0.499	2.046	0.557	1.198
1000^a	0.000250	7680	118.3	0.363	68	13.2	0.055	112.9	0.112	6.600
2000^a	0.000125	7680	118.3	0.481	0	10.3	0.030	Infinity	0.087	16.03
5000^a	0.0000499	8448	103.2	1.350	0	10.6	0.039	Infinity	0.103	34.62