Path-conservative finite volume scheme with Hooke's law-preserving paths for non-conservative hyperbolic system of hypo-elastic plastic solid.

Tiegang Liu

Zhiqiang Zeng Hao Wang Tiegang Liu Changsheng Yu Path-conservative finite volume scheme with Hooke's law-preserving paths for non-conservative hyperbolic system of hypo-elastic plastic solid. 114511 2026 546 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114511 db/journals/jcphy/jcphy546.html#ZengWLY26 streams/journals/jcphy

Liang Xu Ziyan Liu Yiwei Feng Tiegang Liu Unsupervised neural-network solvers for multi-material Riemann problems. 109470 2025 308 Comput. Phys. Commun. https://doi.org/10.1016/j.cpc.2024.109470 db/journals/cphysics/cphysics308.html#XuLFL25 streams/journals/cphysics

Kui Cao Weixiong Yuan Bin Zhang Yiwei Feng Tiegang Liu Stabilized P2-DG method with artificial viscosity for steady hyperbolic conservation laws. 113713 2025 524 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.113713 db/journals/jcphy/jcphy524.html#CaoYZFL25 streams/journals/jcphy

Yumiao Li Tiegang Liu Kui Cao Weixiong Yuan Yin Yang The direct discontinuous Galerkin method with explicit-implicit-null time discretizations for the compressible Navier-Stokes equations. 114362 2025 542 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114362 db/journals/jcphy/jcphy542.html#LiLCYY25 streams/journals/jcphy

Fan Zhang Yang Zhang Jian Cheng Tiegang Liu Exponential Approximation Space Based Finite Volume WENO Scheme for Solving the Five-equation Model of Compressible Two-medium Flows. 6 2025 July 104 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-025-02930-0 db/journals/jscic/jscic104.html#ZhangZCL25 streams/journals/jscic

Jiaxin Wang Kun Wang 0054 Zhen-Guo Yan Xiaofeng He Tiegang Liu GPGPU-based heterogeneous parallel implementation of direct discontinuous Galerkin methods. 362-391 2025 229 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2024.09.034 db/journals/mcs/mcs229.html#WangWYHL25 streams/journals/mcs

Xiaotao Zhang Chengliang Feng Tiegang Liu A Second-Order Modified Ghost Fluid Method (2nd-MGFM) for 2D Planar and Axisymmetric Compressible Multimedium Flows. 1104- 2025 47 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/24m1660838 db/journals/siamsc/siamsc47.html#ZhangFL25 streams/journals/siamsc

Weiheng Zeng Kun Wang 0054 Ruoxi Lu Tiegang Liu CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions. 2025 September abs/2509.02091 CoRR https://doi.org/10.48550/arXiv.2509.02091 db/journals/corr/corr2509.html#abs-2509-02091 streams/journals/corr

Liang Xu Ziyan Liu Yiwei Feng Tiegang Liu Physics-constrained neural networks as multi-material Riemann solvers for compressible two-gas simulations. 102261 2024 78 J. Comput. Sci. https://doi.org/10.1016/j.jocs.2024.102261 db/journals/jocs/jocs78.html#XuLFL24

Fan Yang Chao Liu 0030 Qianqian Chen Jianbin Lai Tiegang Liu Earlier Spring-Summer Phenology and Higher Photosynthetic Peak Altered the Seasonal Patterns of Vegetation Productivity in Alpine Ecosystems. 1580 2024 May 16 Remote. Sens. 9 https://doi.org/10.3390/rs16091580 db/journals/remotesensing/remotesensing16.html#YangLCLL24

Yiwei Feng Lili Lv Tiegang Liu Kun Wang 0054 Bangcheng Ai Investigation of discontinuous Galerkin methods in adjoint gradient-based aerodynamic shape optimization. 2024 abs/2407.18963 CoRR https://doi.org/10.48550/arXiv.2407.18963 db/journals/corr/corr2407.html#abs-2407-18963 streams/journals/corr

Xiaofeng He Kun Wang 0054 Tiegang Liu Yiwei Feng Bin Zhang Weixiong Yuan Xiaojun Wang HODG:high-order discontinuous Galerkin methods for solving compressible Euler and Navier-Stokes equations - an open-source component-based development framework. 108660 2023 May 286 Comput. Phys. Commun. https://doi.org/10.1016/j.cpc.2023.108660 https://www.wikidata.org/entity/Q117042438 db/journals/cphysics/cphysics286.html#HeWLFZYW23

Fan Zhang 0043 Jian Cheng 0007 Tiegang Liu A Physical-Constraint-Preserving Discontinuous Galerkin Method for Weakly Compressible Two-Phase Flows. 84 2023 September 96 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-023-02306-2 db/journals/jscic/jscic96.html#ZhangCL23

Changsheng Yu Tiegang Liu Chengliang Feng A Well-Balanced Scheme for Euler Equations with Singular Sources. 2119- 2023 August 45 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/22m1473224 db/journals/siamsc/siamsc45.html#YuLF23

Fan Zhang 0043 Can Huang 0005 Huashan Zhang Tiegang Liu Moubin Liu A finite particle method based on a Riemann solver for modeling incompressible flows. 74-88 2022 124 Comput. Math. Appl. https://doi.org/10.1016/j.camwa.2022.08.017 https://www.wikidata.org/entity/Q114201415 db/journals/cma/cma124.html#ZhangHZLL22

Changsheng Yu Chengliang Feng Zhiqiang Zeng Tiegang Liu Riemann problem for constant flow with single-point heating source. 106519 2022 112 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2022.106519 https://www.wikidata.org/entity/Q114196429 db/journals/cnsns/cnsns112.html#YuFZL22

Liang Xu Wubing Yang Tiegang Liu An interface treatment for two-material multi-species flows involving thermally perfect gases with chemical reactions. 110707 2022 448 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110707 db/journals/jcphy/jcphy448.html#XuYL22

Xiaotao Zhang Tiegang Liu Changsheng Yu Chengliang Feng Zhiqiang Zeng Kun Wang 0054 A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry. 14 2022 93 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-022-01975-9 https://www.wikidata.org/entity/Q114225520 db/journals/jscic/jscic93.html#ZhangLYFZW22

Zhengli Yang Xinyue Yuan Chao Liu 0030 Ruihua Nie Tiegang Liu Xiaoai Dai Lei Ma 0005 Min Tang Yina Xu Heng Lu 0004 Meta-Analysis and Visualization of the Literature on Early Identification of Flash Floods. 3313 2022 14 Remote. Sens. 14 https://doi.org/10.3390/rs14143313 https://www.wikidata.org/entity/Q114112061 db/journals/remotesensing/remotesensing14.html#YangYLNLDMTXL22

Xiaoai Dai Wenjie Fan 0001 Yunfeng Shan Yu Gao Chao Liu 0030 Ruihua Nie Donghui Zhang Weile Li Lifu Zhang 0002 Xuejian Sun Tiegang Liu Zhengli Yang Xiao Fu Lei Ma 0005 Shuneng Liang Youlin Wang Heng Lu 0004 LAI-Based Phenological Changes and Climate Sensitivity Analysis in the Three-River Headwaters Region. 3748 2022 14 Remote. Sens. 15 https://doi.org/10.3390/rs14153748 https://www.wikidata.org/entity/Q114112003 db/journals/remotesensing/remotesensing14.html#DaiFSGLNZLZSLYF22

Le Duan Chao Liu 0030 Hui Xu Huali Huali Haizhi Liu Xufeng Yan Tiegang Liu Zhengli Yang Gang Liu 0005 Xiaoai Dai Donghui Zhang Xiao Fu Xuemei Liu Heng Lu 0004 Susceptibility Assessment of Flash Floods: A Bibliometrics Analysis and Review. 5432 2022 14 Remote. Sens. 21 https://doi.org/10.3390/rs14215432 db/journals/remotesensing/remotesensing14.html#DuanLXHLYLYLDZF22

Changsheng Yu Chengliang Feng Zhiqiang Zeng Tiegang Liu Riemann problem for constant flow with single-point heating source. 2022 abs/2203.03155 CoRR https://doi.org/10.48550/arXiv.2203.03155 db/journals/corr/corr2203.html#abs-2203-03155

Changsheng Yu Tiegang Liu Chengliang Feng A well-balanced scheme for Euler equations with singular sources. 2022 abs/2203.05868 CoRR https://doi.org/10.48550/arXiv.2203.05868 db/journals/corr/corr2203.html#abs-2203-05868

Yiwei Feng Tiegang Liu A characteristic-featured shock wave indicator on unstructured grids based on training an artificial neuron. 110446 2021 443 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110446 db/journals/jcphy/jcphy443.html#FengL21

Fan Zhang 0043 Tiegang Liu Moubin Liu A High-Order Maximum-Principle-Satisfying Discontinuous Galerkin Method for the Level Set Problem. 45 2021 87 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-021-01459-2 db/journals/jscic/jscic87.html#ZhangLL21

Jufang Wang Tiegang Liu Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design. 79 2021 87 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-021-01499-8 db/journals/jscic/jscic87.html#WangL21

Fan Zhang 0043 Jian Cheng 0007 Tiegang Liu Exponential boundary-layer approximation space for solving the compressible laminar Navier-Stokes equations. 33 2020 46 Adv. Comput. Math. 2 https://doi.org/10.1007/s10444-020-09776-0 https://www.wikidata.org/entity/Q115605494 db/journals/adcm/adcm46.html#ZhangCL20

Jian Cheng 0007 Fan Zhang 0043 Tiegang Liu A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows. 2020 403 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.109059 db/journals/jcphy/jcphy403.html#ChengZL20

Fan Zhang 0043 Jian Cheng 0007 Tiegang Liu A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids. 109580 2020 418 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.109580 db/journals/jcphy/jcphy418.html#ZhangCL20

Yiwei Feng Tiegang Liu Kun Wang 0054 A Characteristic-Featured Shock Wave Indicator for Conservation Laws Based on Training an Artificial Neuron. 21 2020 83 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-020-01200-5 db/journals/jscic/jscic83.html#FengLW20

Jian Cheng 0007 Fan Zhang 0043 Tiegang Liu A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows. 12 2020 85 J. Sci. Comput. 1 https://doi.org/10.1007/s10915-020-01319-5 db/journals/jscic/jscic85.html#ChengZL20

Cunbiao Lee Tiegang Liu Timothy Reis Baolin Tian Manfred Krafczyk Li-Shi Luo Mesoscopic methods in engineering and science. 1051-1052 2019 78 Comput. Math. Appl. 4 https://doi.org/10.1016/j.camwa.2019.05.032 db/journals/cma/cma78.html#LeeLRTKL19

Jian Cheng 0007 Tiegang Liu A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids. 65-87 2019 380 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.11.040 db/journals/jcphy/jcphy380.html#ChengL19

Fan Zhang 0043 Jian Cheng 0007 Tiegang Liu A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids. 269-294 2019 380 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.11.033 db/journals/jcphy/jcphy380.html#ZhangCL19

Tiegang Liu Chengliang Feng Liang Xu Modified Ghost Fluid Method with Acceleration Correction (MGFM/AC). 1906-1944 2019 81 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-019-01079-x https://www.wikidata.org/entity/Q126860556 db/journals/jscic/jscic81.html#LiuFX19

Si Gao Tiegang Liu Chengbao Yao A complete list of exact solutions for one-dimensional elastic-perfectly plastic solid Riemann problem without vacuum. 205-227 2018 63 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2018.02.030 https://www.wikidata.org/entity/Q130102447 db/journals/cnsns/cnsns63.html#GaoLY18

Jian Cheng 0007 Fan Zhang 0043 Tiegang Liu A high order compact least-squares reconstructed discontinuous Galerkin method for the steady-state compressible flows on hybrid grids. 95-113 2018 362 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.02.012 db/journals/jcphy/jcphy362.html#ChengZL18

Jian Cheng 0007 Huiqiang Yue Shengjiao Yu Tiegang Liu Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations. 305-326 2018 362 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2018.02.031 db/journals/jcphy/jcphy362.html#ChengYYL18

Yue Fan Tiegang Liu Parallel Implementation of Simultaneous Perturbation Stochastic Approximation with Adaptive Step Sizes. 3-6 2018 ICACS https://doi.org/10.1145/3242840.3242845 conf/icacs2/2018 db/conf/icacs2/icacs2018.html#FanL18 Kun Wang 0054 Shengjiao Yu Tiegang Liu Airfoil Optimization based on Isogeometric Discontinuous Galerkin. 227-231 2018 ICACS https://doi.org/10.1145/3242840.3242856 conf/icacs2/2018 db/conf/icacs2/icacs2018.html#WangYL18

Jian Cheng 0007 Xiaoquan Yang Xiaodong Liu Tiegang Liu Hong Luo A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids. 484-502 2016 327 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2016.09.049 https://www.wikidata.org/entity/Q57429202 db/journals/jcphy/jcphy327.html#ChengYLLL16

Jian Cheng 0007 Yaowen Lu Tiegang Liu Multidomain Hybrid RKDG and WENO Methods for Hyperbolic Conservation Laws. 2013 35 SIAM J. Sci. Comput. 2 https://doi.org/10.1137/110855156 db/journals/siamsc/siamsc35.html#ChengLL13

Liang Xu Tiegang Liu Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem. 4975-4990 2011 230 J. Comput. Phys. 12 https://doi.org/10.1016/j.jcp.2011.03.021 db/journals/jcphy/jcphy230.html#XuL11

Jiequan Li Tiegang Liu Zhongfeng Sun Implementation of the GRP scheme for computing radially symmetric compressible fluid flows. 5867-5887 2009 228 J. Comput. Phys. 16 https://doi.org/10.1016/j.jcp.2009.04.047 db/journals/jcphy/jcphy228.html#LiLS09

Chunwu Wang Huazhong Tang Tiegang Liu An adaptive ghost fluid finite volume method for compressible gas-water simulations. 6385-6409 2008 227 J. Comput. Phys. 12 https://doi.org/10.1016/j.jcp.2008.03.005 db/journals/jcphy/jcphy227.html#WangTL08

Tiegang Liu Wenfeng Xie Boo Cheong Khoo The Modified Ghost Fluid Method for Coupling of Fluid and Structure Constituted with Hydro-Elasto-Plastic Equation of State. 1105-1130 2008 30 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/050647013 db/journals/siamsc/siamsc30.html#LiuXK08

Jianxian Qiu Tiegang Liu Boo Cheong Khoo Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case. 353-373 2007 222 J. Comput. Phys. 1 https://doi.org/10.1016/j.jcp.2006.07.023 db/journals/jcphy/jcphy222.html#QiuLK07

Huazhong Tang Tiegang Liu A note on the conservative schemes for the Euler equations. 451-459 2006 218 J. Comput. Phys. 2 https://doi.org/10.1016/j.jcp.2006.03.035 db/journals/jcphy/jcphy218.html#TangL06

C. W. Wang Tiegang Liu Boo Cheong Khoo A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow. 278-302 2006 28 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/030601363 db/journals/siamsc/siamsc28.html#WangLK06

Bangcheng Ai Kui Cao Qianqian Chen Jian Cheng Jian Cheng 0007 Xiaoai Dai Le Duan Wenjie Fan 0001 Yue Fan Chengliang Feng Yiwei Feng Xiao Fu Si Gao Yu Gao Xiaofeng He Huali Huali Can Huang 0005 Boo Cheong Khoo Manfred Krafczyk Jianbin Lai Cunbiao Lee Jiequan Li Weile Li Yumiao Li Shuneng Liang Chao Liu 0030 Gang Liu 0005 Haizhi Liu Moubin Liu Xiaodong Liu Xuemei Liu Ziyan Liu Heng Lu 0004 Ruoxi Lu Yaowen Lu Hong Luo Li-Shi Luo Lili Lv Lei Ma 0005 Ruihua Nie Jianxian Qiu Timothy Reis Yunfeng Shan Xuejian Sun Zhongfeng Sun Huazhong Tang Min Tang Baolin Tian C. W. Wang Chunwu Wang Hao Wang Jiaxin Wang Jufang Wang Kun Wang 0054 Xiaojun Wang Youlin Wang Wenfeng Xie Hui Xu Liang Xu Yina Xu Xufeng Yan Zhen-Guo Yan Fan Yang Wubing Yang Xiaoquan Yang Yin Yang Zhengli Yang Chengbao Yao Changsheng Yu Shengjiao Yu Weixiong Yuan Xinyue Yuan Huiqiang Yue Weiheng Zeng Zhiqiang Zeng Bin Zhang Donghui Zhang Fan Zhang Fan Zhang 0043 Huashan Zhang Lifu Zhang 0002 Xiaotao Zhang Yang Zhang