Nascimento, Adyllyson H.; Rosa, Eugênio S. A high-order localized artificial diffusivity scheme for discontinuity capturing on 1D drift-flux models for gas-liquid flows. (English) Zbl 07792915 Adv. Appl. Math. Mech. 16, No. 1, 47-74 (2024). MSC: 65-XX 35L65 65M06 76L05 76M20 76N15 PDFBibTeX XMLCite \textit{A. H. Nascimento} and \textit{E. S. Rosa}, Adv. Appl. Math. Mech. 16, No. 1, 47--74 (2024; Zbl 07792915) Full Text: DOI
Zhang, Zixuan; Dong, Yidao; Zhang, Huaibao; Zheng, Shichao; Deng, Xiaogang A scale-invariant fifth order WCNS scheme for hyperbolic conservation laws. (English) Zbl 1524.65440 Adv. Appl. Math. Mech. 15, No. 5, 1256-1289 (2023). MSC: 65M06 65N06 35Q31 76L05 65L06 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 5, 1256--1289 (2023; Zbl 1524.65440) Full Text: DOI
Liu, Xiangyi; Zhao, Zhiye; Liu, Nansheng; Lu, Xiyun Numerical simulations of the Richtmyer-Meshkov instability of solid-vacuum interface. (English) Zbl 1524.74071 Adv. Appl. Math. Mech. 15, No. 5, 1166-1190 (2023). MSC: 74C15 76L05 76E17 74N20 PDFBibTeX XMLCite \textit{X. Liu} et al., Adv. Appl. Math. Mech. 15, No. 5, 1166--1190 (2023; Zbl 1524.74071) Full Text: DOI
Zhu, Zijin; Hu, Xiaoyan; Ni, Guoxi Radially symmetrical problems for compressible fluids with a high-resolution boundary condition. (English) Zbl 1513.65330 Adv. Appl. Math. Mech. 15, No. 2, 428-449 (2023). MSC: 65M08 65M06 65N08 76L05 76M12 76N15 35B06 76Q05 76N10 76P05 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Adv. Appl. Math. Mech. 15, No. 2, 428--449 (2023; Zbl 1513.65330) Full Text: DOI
Li, Ruo; Zhong, Wei An extension of the order-preserving mapping to the WENO-Z-type schemes. (English) Zbl 1513.65293 Adv. Appl. Math. Mech. 15, No. 1, 202-243 (2023). MSC: 65M06 65M12 35Q31 35L67 76L05 PDFBibTeX XMLCite \textit{R. Li} and \textit{W. Zhong}, Adv. Appl. Math. Mech. 15, No. 1, 202--243 (2023; Zbl 1513.65293) Full Text: DOI arXiv
Cheng, Mingyang; Tang, Lingyan; Chen, Yaming; Song, Songhe A well-balanced weighted compact nonlinear scheme for pre-balanced shallow water equations. (English) Zbl 1513.65277 Adv. Appl. Math. Mech. 14, No. 5, 1181-1200 (2022). MSC: 65M06 65N06 65N12 76M20 76B15 76L05 35Q35 PDFBibTeX XMLCite \textit{M. Cheng} et al., Adv. Appl. Math. Mech. 14, No. 5, 1181--1200 (2022; Zbl 1513.65277) Full Text: DOI
Li, Qin; Sun, Dong; Xu, Fengyuan WENO interpolation-based and upwind-biased free-stream preserving nonlinear schemes. (English) Zbl 1488.65261 Adv. Appl. Math. Mech. 13, No. 6, 1441-1484 (2021). MSC: 65M06 65N06 65L06 65D05 76B47 76L05 76J20 35Q31 PDFBibTeX XMLCite \textit{Q. Li} et al., Adv. Appl. Math. Mech. 13, No. 6, 1441--1484 (2021; Zbl 1488.65261) Full Text: DOI
Liu, Yangyang; Yang, Liming; Shu, Chang; Zhang, Huangwei A multi-dimensional shock-capturing limiter for high-order least square-based finite difference-finite volume method on unstructured grids. (English) Zbl 1488.65349 Adv. Appl. Math. Mech. 13, No. 3, 671-700 (2021). MSC: 65M08 65M06 65N08 76M12 76L05 76N06 35Q31 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Appl. Math. Mech. 13, No. 3, 671--700 (2021; Zbl 1488.65349) Full Text: DOI
Li, Peng; Zhao, Xiqiang; Gao, Zhen; Wang, Bao-Shan High order hybrid weighted compact nonlinear schemes for hyperbolic conservation laws. (English) Zbl 1488.65258 Adv. Appl. Math. Mech. 12, No. 4, 972-991 (2020). MSC: 65M06 35L65 65M25 76L05 76M20 65D17 PDFBibTeX XMLCite \textit{P. Li} et al., Adv. Appl. Math. Mech. 12, No. 4, 972--991 (2020; Zbl 1488.65258) Full Text: DOI
Li, Ruo; Wang, Yanli; Yao, Chengbao A robust Riemann solver for multiple hydro-elastoplastic solid mediums. (English) Zbl 1488.76082 Adv. Appl. Math. Mech. 12, No. 1, 212-250 (2020). MSC: 76L05 74H15 76T30 PDFBibTeX XMLCite \textit{R. Li} et al., Adv. Appl. Math. Mech. 12, No. 1, 212--250 (2020; Zbl 1488.76082) Full Text: DOI arXiv
Duan, Junming; Tang, Huazhong High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. (English) Zbl 1488.65238 Adv. Appl. Math. Mech. 12, No. 1, 1-29 (2020). MSC: 65M06 65L06 65N06 76X05 76L05 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Duan} and \textit{H. Tang}, Adv. Appl. Math. Mech. 12, No. 1, 1--29 (2020; Zbl 1488.65238) Full Text: DOI arXiv
Wu, Jinxin; Liu, Han; Xiao, Zuoli A numerical investigation of Richtmyer-Meshkov instability in spherical geometry. (English) Zbl 1488.65302 Adv. Appl. Math. Mech. 11, No. 3, 583-597 (2019). MSC: 65M06 65N06 65L06 76F65 76L05 76T06 76T10 76N06 76F55 PDFBibTeX XMLCite \textit{J. Wu} et al., Adv. Appl. Math. Mech. 11, No. 3, 583--597 (2019; Zbl 1488.65302) Full Text: DOI
Xie, Wenjia; Zhang, Ye; Chang, Qing; Li, Hua Towards an accurate and robust Roe-type scheme for all Mach number flows. (English) Zbl 1488.65356 Adv. Appl. Math. Mech. 11, No. 1, 132-167 (2019). MSC: 65M08 35L65 76M12 76L05 PDFBibTeX XMLCite \textit{W. Xie} et al., Adv. Appl. Math. Mech. 11, No. 1, 132--167 (2019; Zbl 1488.65356) Full Text: DOI
Sun, Peizhao; Liu, Nansheng; Yang, Jiming; Lu, Xiyun Numerical investigation of supersonic channel flow with oscillatory backpressures. (English) Zbl 1488.76067 Adv. Appl. Math. Mech. 11, No. 1, 1-23 (2019). MSC: 76F65 76L05 76F70 76J20 76-10 PDFBibTeX XMLCite \textit{P. Sun} et al., Adv. Appl. Math. Mech. 11, No. 1, 1--23 (2019; Zbl 1488.76067) Full Text: DOI
Sun, Peizhao; Yang, Jiming; Lu, Xiyun Numerical investigation of multiple shock/turbulent flow interaction in a supersonic channel. (English) Zbl 1488.76068 Adv. Appl. Math. Mech. 10, No. 2, 390-408 (2018). MSC: 76F65 76L05 76F70 76-10 PDFBibTeX XMLCite \textit{P. Sun} et al., Adv. Appl. Math. Mech. 10, No. 2, 390--408 (2018; Zbl 1488.76068) Full Text: DOI
Lin, Jianyu; Ding, Hang; Lu, Xiyun; Wang, Peng A comparison study of numerical methods for compressible two-phase flows. (English) Zbl 1488.76046 Adv. Appl. Math. Mech. 9, No. 5, 1111-1132 (2017). MSC: 76E17 76L05 76T10 PDFBibTeX XMLCite \textit{J. Lin} et al., Adv. Appl. Math. Mech. 9, No. 5, 1111--1132 (2017; Zbl 1488.76046) Full Text: DOI
Bai, Xiao; Deng, Xiaolong A sharp interface method for compressible multi-phase flows based on the cut cell and ghost fluid methods. (English) Zbl 1488.65326 Adv. Appl. Math. Mech. 9, No. 5, 1052-1075 (2017). MSC: 65M08 65L06 76T30 76N15 76L05 PDFBibTeX XMLCite \textit{X. Bai} and \textit{X. Deng}, Adv. Appl. Math. Mech. 9, No. 5, 1052--1075 (2017; Zbl 1488.65326) Full Text: DOI
Li, Zheng; Shi, Zhiwei; Du, Hai Analytical model: characteristics of nanosecond pulsed plasma synthetic jet actuator in multiple-pulsed mode. (English) Zbl 1499.76071 Adv. Appl. Math. Mech. 9, No. 2, 439-462 (2017). MSC: 76L05 76N25 76X05 82D10 PDFBibTeX XMLCite \textit{Z. Li} et al., Adv. Appl. Math. Mech. 9, No. 2, 439--462 (2017; Zbl 1499.76071) Full Text: DOI
Zhu, Huajun; Deng, Xiaogang; Mao, Meiliang; Liu, Huayong; Tu, Guohua Osher flux with entropy fix for two-dimensional Euler equations. (English) Zbl 1488.65323 Adv. Appl. Math. Mech. 8, No. 4, 670-692 (2016). MSC: 65M06 65M70 65N35 76L05 76K05 PDFBibTeX XMLCite \textit{H. Zhu} et al., Adv. Appl. Math. Mech. 8, No. 4, 670--692 (2016; Zbl 1488.65323) Full Text: DOI
Guo, Yonghui; Li, Ruo; Yao, Chengbao A numerical method on Eulerian grids for two-phase compressible flow. (English) Zbl 1488.65340 Adv. Appl. Math. Mech. 8, No. 2, 187-212 (2016). MSC: 65M08 76T10 76L05 76N99 35Q31 76M12 PDFBibTeX XMLCite \textit{Y. Guo} et al., Adv. Appl. Math. Mech. 8, No. 2, 187--212 (2016; Zbl 1488.65340) Full Text: DOI
Chen, Songze; Kun, Xu; Qingdong, Cai A comparison and unification of ellipsoidal statistical and Shakhov BGK models. (English) Zbl 1488.65532 Adv. Appl. Math. Mech. 7, No. 2, 245-266 (2015). MSC: 65M75 76M28 76P05 76N15 76L05 35Q20 82C40 82C22 65D32 35R60 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Appl. Math. Mech. 7, No. 2, 245--266 (2015; Zbl 1488.65532) Full Text: DOI arXiv
Dou, Hua-Shu; Hu, Zongmin; Khoo, Boo Cheong; Jiang, Zonglin Numerical simulation of deflagration to detonation transition in a straight duct: effects of energy release and detonation stability. (English) Zbl 1488.76081 Adv. Appl. Math. Mech. 6, No. 6, 718-731 (2014). MSC: 76L05 76-10 PDFBibTeX XMLCite \textit{H.-S. Dou} et al., Adv. Appl. Math. Mech. 6, No. 6, 718--731 (2014; Zbl 1488.76081) Full Text: DOI Link