Tian, Peng; Feng, Kaikai; Ma, Qihan; Li, Zhihui; Zhang, Jun Unified stochastic particle simulation of polyatomic gas flows using SPARTACUS. (English) Zbl 1521.76798 Comput. Fluids 265, Article ID 105987, 16 p. (2023). MSC: 76P05 76K05 PDFBibTeX XMLCite \textit{P. Tian} et al., Comput. Fluids 265, Article ID 105987, 16 p. (2023; Zbl 1521.76798) Full Text: DOI
Li, Zhihui; Agarwal, Ramesh K. Numerical simulations and design optimization of compressor cascade flow using one equation and Wray-Agarwal turbulence model. (English) Zbl 07686845 Int. J. Comput. Fluid Dyn. 36, No. 8, 705-718 (2022). MSC: 76F65 76M12 76M20 76N25 PDFBibTeX XMLCite \textit{Z. Li} and \textit{R. K. Agarwal}, Int. J. Comput. Fluid Dyn. 36, No. 8, 705--718 (2022; Zbl 07686845) Full Text: DOI
Xu, Xiaocong; Chen, Yipei; Liu, Chang; Li, Zhihui; Xu, Kun Unified gas-kinetic wave-particle methods. V: Diatomic molecular flow. (English) Zbl 07513806 J. Comput. Phys. 442, Article ID 110496, 24 p. (2021). MSC: 76Mxx 76Pxx 82Cxx PDFBibTeX XMLCite \textit{X. Xu} et al., J. Comput. Phys. 442, Article ID 110496, 24 p. (2021; Zbl 07513806) Full Text: DOI arXiv
Zhu, Lianhua; Pi, Xingcai; Su, Wei; Li, Zhi-Hui; Zhang, Yonghao; Wu, Lei General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows. (English) Zbl 07506523 J. Comput. Phys. 430, Article ID 110091, 23 p. (2021). MSC: 76Mxx 76Pxx 65Mxx PDFBibTeX XMLCite \textit{L. Zhu} et al., J. Comput. Phys. 430, Article ID 110091, 23 p. (2021; Zbl 07506523) Full Text: DOI arXiv Link
Wu, Jun-Lin; Li, Zhi-Hui; Zhang, Zi-Bin; Peng, Ao-Ping On derivation and verification of a kinetic model for quantum vibrational energy of polyatomic gases in the gas-kinetic unified algorithm. (English) Zbl 07503720 J. Comput. Phys. 435, Article ID 109938, 32 p. (2021). MSC: 76Mxx 76Pxx 82Cxx PDFBibTeX XMLCite \textit{J.-L. Wu} et al., J. Comput. Phys. 435, Article ID 109938, 32 p. (2021; Zbl 07503720) Full Text: DOI
Li, Jun; Ho, Minh Tuan; Borg, Matthew K.; Cai, Chunpei; Li, Zhi-Hui; Zhang, Yonghao Pore-scale gas flow simulations by the DSBGK and DVM methods. (English) Zbl 1521.76792 Comput. Fluids 226, Article ID 105017, 10 p. (2021). MSC: 76P05 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Fluids 226, Article ID 105017, 10 p. (2021; Zbl 1521.76792) Full Text: DOI
Hu, Wen-Qiang; Li, Zhi-Hui; Peng, Ao-Ping; Jiang, Xin-Yu A gas-kinetic unified algorithm for non-equilibrium polyatomic gas flows covering various flow regimes. (English) Zbl 1473.35390 Commun. Comput. Phys. 30, No. 1, 144-189 (2021). MSC: 35Q20 76P05 82C40 PDFBibTeX XMLCite \textit{W.-Q. Hu} et al., Commun. Comput. Phys. 30, No. 1, 144--189 (2021; Zbl 1473.35390) Full Text: DOI
Ho, Minh Tuan; Li, Jun; Su, Wei; Wu, Lei; Borg, Matthew K.; Li, Zhihui; Zhang, Yonghao Rarefied flow separation in microchannel with bends. (English) Zbl 1460.76681 J. Fluid Mech. 901, Paper No. A26, 20 p. (2020). MSC: 76P05 76M28 PDFBibTeX XMLCite \textit{M. T. Ho} et al., J. Fluid Mech. 901, Paper No. A26, 20 p. (2020; Zbl 1460.76681) Full Text: DOI Link
Wang, Peng; Wu, Lei; Ho, Minh Tuan; Li, Jun; Li, Zhi-Hui; Zhang, Yonghao The kinetic Shakhov-Enskog model for non-equilibrium flow of dense gases. (English) Zbl 1430.76413 J. Fluid Mech. 883, Paper No. A48, 22 p. (2020). MSC: 76N15 76P05 82C40 PDFBibTeX XMLCite \textit{P. Wang} et al., J. Fluid Mech. 883, Paper No. A48, 22 p. (2020; Zbl 1430.76413) Full Text: DOI
Ho, Minh Tuan; Zhu, Lianhua; Wu, Lei; Wang, Peng; Guo, Zhaoli; Li, Zhi-Hui; Zhang, Yonghao A multi-level parallel solver for rarefied gas flows in porous media. (English) Zbl 07682589 Comput. Phys. Commun. 234, 14-25 (2019). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{M. T. Ho} et al., Comput. Phys. Commun. 234, 14--25 (2019; Zbl 07682589) Full Text: DOI arXiv
Li, Xiaowei; Li, Chunxin; Zhang, Dan; Li, Zhihui An implicit scheme for solving unsteady Boltzmann model equation. (English) Zbl 1449.65193 Numer. Math., Theory Methods Appl. 12, No. 2, 594-606 (2019). MSC: 65M06 65M12 35Q20 76P05 76J20 PDFBibTeX XMLCite \textit{X. Li} et al., Numer. Math., Theory Methods Appl. 12, No. 2, 594--606 (2019; Zbl 1449.65193) Full Text: DOI
Hou, Shen-Mao; Li, Zhi-Hui; Jiang, Xin-Yu; Zeng, Shi Numerical study on two-dimensional micro-channel flows using the gas-kinetic unified algorithm. (English) Zbl 1488.82011 Commun. Comput. Phys. 23, No. 5, 1393-1414 (2018). MSC: 82C40 82B40 82M37 82D05 35Q20 76P05 82C26 PDFBibTeX XMLCite \textit{S.-M. Hou} et al., Commun. Comput. Phys. 23, No. 5, 1393--1414 (2018; Zbl 1488.82011) Full Text: DOI
Fang, Ming; Li, Zhihui; Li, Zhonghua; Li, Chunxuan DSMC approach for rarefied air ionization during spacecraft reentry. (English) Zbl 1474.76074 Commun. Comput. Phys. 23, No. 4, 1167-1190 (2018). MSC: 76P05 62P35 65C05 PDFBibTeX XMLCite \textit{M. Fang} et al., Commun. Comput. Phys. 23, No. 4, 1167--1190 (2018; Zbl 1474.76074) Full Text: DOI
Liang, Jie; Li, Zhihui; Li, Xuguo; Shi, Weibo Monte Carlo simulation of spacecraft reentry aerothermodynamics and analysis for ablating disintegration. (English) Zbl 1474.76054 Commun. Comput. Phys. 23, No. 4, 1037-1051 (2018). MSC: 76M28 65C05 74K30 76K05 PDFBibTeX XMLCite \textit{J. Liang} et al., Commun. Comput. Phys. 23, No. 4, 1037--1051 (2018; Zbl 1474.76054) Full Text: DOI
Hu, Wen-Qiang; Li, Zhi-Hui Investigation on different discrete velocity quadrature rules in gas-kinetic unified algorithm solving Boltzmann model equation. (English) Zbl 1419.76501 Comput. Math. Appl. 75, No. 11, 4179-4200 (2018). MSC: 76M25 65M75 76P05 82D05 35Q20 65D32 82C40 PDFBibTeX XMLCite \textit{W.-Q. Hu} and \textit{Z.-H. Li}, Comput. Math. Appl. 75, No. 11, 4179--4200 (2018; Zbl 1419.76501) Full Text: DOI
Wu, Jun-Lin; Li, Zhi-Hui; Peng, Ao-Ping; Pi, Xing-Cai; Li, Zhong-Hua Numerical study on rarefied unsteady jet flow expanding into vacuum using the gas-kinetic unified algorithm. (English) Zbl 1410.76414 Comput. Fluids 155, 50-61 (2017). MSC: 76P05 76M28 82C40 82C80 PDFBibTeX XMLCite \textit{J.-L. Wu} et al., Comput. Fluids 155, 50--61 (2017; Zbl 1410.76414) Full Text: DOI
Chen, Songze; Xu, Kun; Li, Zhihui Cartesian grid method for gas kinetic scheme on irregular geometries. (English) Zbl 1373.76229 J. Comput. Phys. 326, 862-877 (2016). MSC: 76M28 76J20 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Phys. 326, 862--877 (2016; Zbl 1373.76229) Full Text: DOI arXiv
Peng, Ao-Ping; Li, Zhi-Hui; Wu, Jun-Lin; Jiang, Xin-Yu Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes. (English) Zbl 1373.76073 J. Comput. Phys. 327, 919-942 (2016). MSC: 76G25 76M12 PDFBibTeX XMLCite \textit{A.-P. Peng} et al., J. Comput. Phys. 327, 919--942 (2016; Zbl 1373.76073) Full Text: DOI
Li, Zhi-Hui; Ma, Qiang; Cui, Junzhi Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure. (English) Zbl 1349.65459 J. Comput. Phys. 314, 712-748 (2016). MSC: 65M60 76M10 PDFBibTeX XMLCite \textit{Z.-H. Li} et al., J. Comput. Phys. 314, 712--748 (2016; Zbl 1349.65459) Full Text: DOI
Wu, Junlin; Li, Zhihui; Peng, Aoping; Jiang, Xinyu Numerical simulations of unsteady flows from rarefied transition to continuum using gas-kinetic unified algorithm. (English) Zbl 1488.82013 Adv. Appl. Math. Mech. 7, No. 5, 569-596 (2015). MSC: 82C40 82M20 35Q20 76P05 76U05 76N15 65M06 65N06 PDFBibTeX XMLCite \textit{J. Wu} et al., Adv. Appl. Math. Mech. 7, No. 5, 569--596 (2015; Zbl 1488.82013) Full Text: DOI
Yang, Jaw-Yen; Yan, Chih-Yuan; Diaz, Manuel; Huang, Juan-Chen; Li, Zhihui; Zhang, Hanxin Numerical solutions of ideal quantum gas dynamical flows governed by semiclassical ellipsoidal-statistical distribution. (English) Zbl 1371.82091 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2161, Article ID 20130413, 19 p. (2014). MSC: 82C40 76Y05 76M28 82-08 82C80 35Q20 PDFBibTeX XMLCite \textit{J.-Y. Yang} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2161, Article ID 20130413, 19 p. (2014; Zbl 1371.82091) Full Text: DOI
Yang, Jaw-Yen; Muljadi, Bagus Putra; Li, Zhi-Hui; Zhang, Han-Xin A direct solver for initial value problems of rarefied gas flows of arbitrary statistics. (English) Zbl 1373.76202 Commun. Comput. Phys. 14, No. 1, 242-264 (2013). MSC: 76M20 76P05 35Q20 65M06 82C40 PDFBibTeX XMLCite \textit{J.-Y. Yang} et al., Commun. Comput. Phys. 14, No. 1, 242--264 (2013; Zbl 1373.76202) Full Text: DOI Link
Yang, Jaw-Yen; Muljadi, Bagus Putra; Chen, Su-Yuan; Li, Zhi-Hui Kinetic numerical methods for solving the semiclassical Boltzmann-BGK equation. (English) Zbl 1290.76129 Comput. Fluids 85, 153-165 (2013). MSC: 76M28 76P05 65M75 PDFBibTeX XMLCite \textit{J.-Y. Yang} et al., Comput. Fluids 85, 153--165 (2013; Zbl 1290.76129) Full Text: DOI
Li, Zhi-Hui; Bi, Lin; Zhang, Han-Xin; Li, Lin Gas-kinetic numerical study of complex flow problems covering various flow regimes. (English) Zbl 1225.76257 Comput. Math. Appl. 61, No. 12, 3653-3667 (2011). MSC: 76P05 76M25 65Y10 65M75 PDFBibTeX XMLCite \textit{Z.-H. Li} et al., Comput. Math. Appl. 61, No. 12, 3653--3667 (2011; Zbl 1225.76257) Full Text: DOI
Li, Zhihui; Bi, Lin; Tang, Zhigong Gas-kinetic numerical schemes for one- and two-dimensional inner flows. (English) Zbl 1171.76041 Appl. Math. Mech., Engl. Ed. 30, No. 7, 889-904 (2009). MSC: 76M20 76P05 PDFBibTeX XMLCite \textit{Z. Li} et al., Appl. Math. Mech., Engl. Ed. 30, No. 7, 889--904 (2009; Zbl 1171.76041) Full Text: DOI
Li, Zhi-Hui; Zhang, Han-Xin Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry. (English) Zbl 1330.76094 J. Comput. Phys. 228, No. 4, 1116-1138 (2009). MSC: 76M20 76N15 76P05 76M28 76J20 PDFBibTeX XMLCite \textit{Z.-H. Li} and \textit{H.-X. Zhang}, J. Comput. Phys. 228, No. 4, 1116--1138 (2009; Zbl 1330.76094) Full Text: DOI
Li, Zhi-Hui; Zhang, Han-Xin Gas-kinetic description of shock wave structures by solving Boltzmann model equation. (English) Zbl 1184.76840 Int. J. Comput. Fluid Dyn. 22, No. 9, 623-638 (2008). MSC: 76P05 76L05 76M20 PDFBibTeX XMLCite \textit{Z.-H. Li} and \textit{H.-X. Zhang}, Int. J. Comput. Fluid Dyn. 22, No. 9, 623--638 (2008; Zbl 1184.76840) Full Text: DOI
Li, Zhihui; Zhang, Hanxin Gas-kinetic numerical method for solving mesoscopic velocity distribution function equation. (English) Zbl 1202.76123 Acta Mech. Sin. 23, No. 2, 121-132 (2007). MSC: 76P05 76M20 PDFBibTeX XMLCite \textit{Z. Li} and \textit{H. Zhang}, Acta Mech. Sin. 23, No. 2, 121--132 (2007; Zbl 1202.76123) Full Text: DOI
Xu, Kun; Li, Zhihui Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions. (English) Zbl 1107.76070 J. Fluid Mech. 513, 87-110 (2004). MSC: 76P05 76M12 82C40 PDFBibTeX XMLCite \textit{K. Xu} and \textit{Z. Li}, J. Fluid Mech. 513, 87--110 (2004; Zbl 1107.76070) Full Text: DOI
Li, Zhihui; Zhang, Hanxin Gas kinetic algorithm using Boltzmann model equation. (English) Zbl 1100.82520 Comput. Fluids 33, No. 7, 967-991 (2004). MSC: 82C40 76M25 76P05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{H. Zhang}, Comput. Fluids 33, No. 7, 967--991 (2004; Zbl 1100.82520) Full Text: DOI
Li, Zhihui; Zhang, Hanxin Study on gas kinetic unified algorithm for flows from rarefied transition to continuum. (English) Zbl 1109.76349 J. Comput. Phys. 193, No. 2, 708-738 (2004). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{Z. Li} and \textit{H. Zhang}, J. Comput. Phys. 193, No. 2, 708--738 (2004; Zbl 1109.76349) Full Text: DOI
Li, Zhihui; Zhang, Hanxin Numerical investigation from rarefied flow to continuum by solving the Boltzmann model equation. (English) Zbl 1051.76594 Int. J. Numer. Methods Fluids 42, No. 4, 361-382 (2003). MSC: 76M20 76M25 76P05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{H. Zhang}, Int. J. Numer. Methods Fluids 42, No. 4, 361--382 (2003; Zbl 1051.76594) Full Text: DOI