{"id":11,"date":"2022-04-01T13:46:22","date_gmt":"2022-04-01T13:46:22","guid":{"rendered":"https:\/\/dev-cu-sites.pantheonsite.io\/chorus-mhd\/?page_id=11"},"modified":"2026-01-31T21:25:37","modified_gmt":"2026-01-31T21:25:37","slug":"publications","status":"publish","type":"page","link":"https:\/\/sites.clarkson.edu\/chorus-mhd\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n

Journal Articles <\/h2>\n\n\n\n
    \n
  1. Keiji Hayashi, Alexander Kosovichev, and Chunlei Liang, Simulations of Global Solar Convection with a Fully Compressible CHORUS++ Code<\/a><\/em>, Astrophysical Journal Supplement Series, 282:58, 2026.<\/li>\n\n\n\n
  2. Kuangxu Chen and Chunlei Liang, High-Order Hybrid Essentially Non-Oscillatory Spectral Difference Method for Hyperbolic Conservation Laws on Unstructured Curved Quadrilateral Grids, Physics of Fluids<\/strong>, Vol 37, 076107, 2025.<\/a><\/li>\n\n\n\n
  3. Russell J. Hankey, Kuangxu Chen, and Chunlei Liang, Extending the Spectral Difference Method with Divergence Cleaning (SDDC) to the Hall MHD Equations, Accepted for publication<\/a>, Northeast Journal of Complex Systems. Vol. 5, 2023. <\/li>\n\n\n\n
  4. K. Chen, C. Liang and M. Wan, Arbitrarily high-order accurate simulations of compressible rotationally constrained convection using a transfinite mapping on cubed-sphere grids, Physics of Fluids, Vol 35, 086120<\/a>, 2023.<\/li>\n\n\n\n
  5. K. Chen and C. Liang, An arbitrarily high-order Spectral Difference method with Divergence Cleaning (SDDC) for compressible magnetohydrodynamic simulations on unstructured grids, The Astrophysical Journal<\/strong>, published online, June 2022. https:\/\/doi.org\/10.3847\/1538-4357\/ac6e61<\/a><\/li>\n\n\n\n
  6. K. Chen and C. Liang, A divergence-free high-order Spectral Difference method with Constrained Transport (SDCT) for ideal compressible magnetohydrodynamics. in press, Int. Journal of Computational Fluid Dynamics, 2022. https:\/\/doi.org\/10.1080\/10618562.2022.2042272<\/a><\/li>\n\n\n\n
  7. X. Zhang and C. Liang, An open boundary condition for high-order solutions of magnetohydrodynamics on unstructured grids, Int. Journal of Computational Fluid Dynamics<\/strong>, Vol 34, pp. 438-456, 2020, https:\/\/doi.org\/10.1080\/10618562.2020.1791835<\/a><\/li>\n\n\n\n
  8. Jingjing Yang, Chunlei Liang, A high-order flux reconstruction adaptive mesh refinement method for magnetohydrodynamics on unstructured grids. International Journal for Numerical Methods in Fluids<\/strong><\/em>, Volume 86, 231-253, 2018.<\/li>\n\n\n\n
  9. X. Zhang, C. Liang, J. Yang, M. S. Miesch, A robust artificial magnetic resistivity and sub-iterative divergence cleaning technique for solving ideal MHD equations with a high-order flux reconstruction method. International Journal of Terraspace Science and Engineering<\/strong><\/em>, <\/strong><\/em>Vol 9, 21-29, 2017.<\/li>\n\n\n\n
  10. J. Yang, B. Zhang, C. Liang, and Y. Rong, A High-Order Flux Reconstruction Method with Adaptive Mesh Refinement and Artificial Diffusivity on Unstructured Moving\/Deforming Mesh for Shock Capturing. Computers & Fluids<\/strong><\/em>, Vol 139, 17-35, 2017.<\/li>\n\n\n\n
  11. J. Wang, M. S. Miesch, and C. Liang, Convection in Oblate Solar-Type Stars. Astrophysical Journal<\/strong><\/em>, Vol 830, 2016.<\/li>\n\n\n\n
  12. J. Wang, C. Liang, M. S. Miesch, A Compressible High-Order Unstructured Spectral Difference Code for Stratified Convection in Rotating Spherical Shells, Journal of Computational Physics<\/strong><\/em>, Vol 290, 90-111, 2015.<\/li>\n\n\n\n
  13. S. Premasuthan, C. Liang, A. Jameson, Computation of flows with shocks using the Spectral Difference method with artificial viscosity, I: Basic formulation and application, Computers and Fluids, Volume 98<\/a>, 2 July 2014, Pages 111-121. <\/li>\n\n\n\n
  14. S. Premasuthan, C. Liang, A. Jameson, Computation of flows with shocks using the Spectral Difference method with artificial viscosity, II: Modified formulation with local mesh refinement, Computers and Fluids, Volume 98<\/a>, 2 July 2014, Pages 122-133.<\/li>\n\n\n\n
  15. J. Chen, J. D. Lee, C. Liang, Constitutive equations of Micropolar electromagnetic fluids, Journal of Non-Newtonian Fluid Mechanics<\/strong><\/em>, Vol 166, 867-874 , 2011.<\/li>\n<\/ol>\n\n\n\n

    Dissertations<\/h2>\n\n\n\n
      \n
    1. Russell Hankey, Kinematic Dynamo Simulations Using the Spectral Difference with Divergence Cleaning Method, M.S. thesis, Clarkson University, 2025.<\/li>\n\n\n\n
    2. Kuangxu Chen, High-Order Accurate Simulations of Compressible MHD Dynamo on Unstructured Grids, Ph.D. thesis, Clarkson University, 2023.<\/li>\n\n\n\n
    3. Xiaoliang Zhang, CHORUS-MHD Code for Solar and Planetary Magnetohydrodynamics.<\/em> Ph.D. dissertation<\/strong>, The George Washington University, <\/em>2019.<\/em><\/li>\n\n\n\n
    4. Jingjing Yang, A High-Order Adaptive Mesh Refinement Method for Shock Capturing and Magnetohydrodynamics<\/em>. Ph.D. dissertation<\/strong>, The George Washington University<\/em>, 2017.<\/li>\n\n\n\n
    5. Junfeng Wang, CHORUS Code for Solar and Planetary Convection. <\/em>Ph.D. dissertation<\/strong>, The George Washington University, <\/em>2016.<\/em><\/li>\n<\/ol>\n\n\n\n

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      Journal Articles Dissertations<\/p>\n","protected":false},"author":163,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"class_list":["post-11","page","type-page","status-publish","hentry"],"coauthors":[],"author_meta":{"author_link":"https:\/\/sites.clarkson.edu\/chorus-mhd\/author\/tconvers\/","display_name":"tconvers"},"relative_dates":{"created":"Posted 4 years ago","modified":"Updated 2 months ago"},"absolute_dates":{"created":"Posted on April 1, 2022","modified":"Updated on January 31, 2026"},"absolute_dates_time":{"created":"Posted on April 1, 2022 1:46 pm","modified":"Updated on January 31, 2026 9:25 pm"},"featured_img_caption":"","featured_img":false,"series_order":"","_links":{"self":[{"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/users\/163"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":6,"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":431,"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/pages\/11\/revisions\/431"}],"wp:attachment":[{"href":"https:\/\/sites.clarkson.edu\/chorus-mhd\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}