Dr. Yang is an Assistant Professor in School of Computer Science and Technology / Faculty of Innovation Engineering at Macau University of Science and Technology (M.U.S.T. 澳門科技大學). Before he joined M.U.S.T., he was a postdoctoral researcher at Sun Yat-sen University (2021.12-2023.06). He obtained his doctoral degree in Applied Mathematics, Korea University, 2021 under the guidance of Prof. Junseok Kim. His research interests are Computational Multi-phase Fluid Dynamics, Phase-field Method, Numerical Simulations in Science and Engineering, and Mathematical Modeling. He has published 79 SCI papers as first or corresponding author from 2018.

已主持科研項目如下：

國家自然科學基金青年科學基金項目;

澳門特別行政區科學技術發展基金-科技創新提升計劃;

澳門科技大學研究基金項目;

博士後科學基金面上項目。

博士期間被中國駐韓大使館教育處評為2020年度優秀在韓國家公派留學人員; 入選2022年度博士後國際交流計劃引進項目。

Introduction of PF_CFD Team

PF_CFD Team (相場_計算流體動力學 課題組) aims to develop high-performance mathematical models and computational algorithms in science and engineering. As a leader of my lab, I have published more than 90 SCI papers from 2018 and accumulated related experiences and skills in the fileds of phase-field method and incompressible fluid simulations. Moreover, I am also interested in immersed boundary method, level-set method, lattice Boltzmann method, image processing, 3D volume reconstruction, and digital twins.

In my homepage, I provide several simple but practical MATLAB codes for interested readers or students. These codes can be used to simulate phase-field Cahn-Hilliard dynamics, Fluid flows, square phase-field crystal dynamics, dendritic growth, Natural convection, and Image segmentation, etc. I will update other open source codes in the future. In the Publications, I only provide the papers as first or corresponding author. For more details of my publications, please refer to my ResearchGate page. Some interesting simulation results are pasted in Portfolio.

Present research topics (selected)

• Computational Fluid Algorithms:
  1. Structure-preserving time-marching schemes for the incompressible Navier-Stokes equations;
  2. Finite volume method for the fluid flows on surfaces with direct discretization;
  3. Finite volume lattice Boltzmann algorithms for fluid flows on curved surfaces;
  4. Closest point-type finite difference method for the Navier-Stokes equations on surfaces;
  5. Efficient and high-order accurate algorithms for fluid-structure interactions.
• Numerical Simulations of Multi-phase Fluids:
  1. Strongly stable numerical methods for two-phase flows with large desnity ratio and high Reynolds number;
  2. Energy-stable and linear schemes for multi-phase flows with variable density and viscosity;
  3. Accurate, stable, and efficient algorithms for multi-phase fluids in complex domains;
  4. Multi-physics coupled fluid modeling and the associated numerical computations;
  5. Hybrid phase-field / lattice Boltzmann / immersed boundary methods in complex fluid simulations.
• Computational Biology and Material Sciences:
  1. Phase-field modeling of red blood cell and its structure-preserving algorithms;
  2. Immersed boundary-diffuse interface method for simulating cell division;
  3. Mathematical modeling of tumor growth and tissue growth;
  4. Accurate and highly efficient algorithms for crystal and quasi-crystal models;
  5. Energy-stable computations for copolymers in irregular regions.
• Image Processing and Volume Reconstruction:
  1. Maximum principle-preserving numerical methods for phase-field models of image segmentation;
  2. Unconditionally stable numerical methods for phase-field models of 3D volume reconstruction;
  3. Lattice Boltzmann-Threshold dynamics methods for image processing.
• Numerical Methods for Partial Differential Equations:
  1. Error estimations of convex splitting-type methods for the Swift-Hohenberg equations;
  2. Adaptive narrow band algorithms for solving Allen-Cahn and Cahn-Hilliard equations;
  3. Novel explicit and practically stable methods for gradient flow problems;
  4. Multigrid algorithms for accelerating the convergence.

Open positions / 招生信息

Master degree in Applied Mathematics openings on computational physics (fluids, biology, and materials) and numerical methods for partial differential equations (PDEs). Undergraduate students should contact Prof. Yang and apply to School of Computer Science and Engineering at Macau University of Science and Technology.

For the students who want to study numerical simulations with me, the prerequisites are: Calculus (Advanced Mathematics), Linear Algebra, and College Physics. Mastering C program, MATLAB, Latex and passing a numerical analysis course are recommended.

欢迎具有數學、工程力學等相关本科背景的同學報考碩士課程！個人精力有限，自2024年秋季學期往後，每年只招收碩士1-2名，暫無博士招生資格。 Since 2024 fall semester, I only recruit 1-2 Master students in each year. If you are willing to join my team, please contact me via jxyang@must.edu.mo

課題組要求:

提供每周一至周五从早到晚的陪伴式指导，提供研究主题和代码，但是需接受以下要求

1. 本課題組碩士畢業答辯前，必須以第一作者身份發表至少一篇JCR Q1等级的SCI文章;

2. 不允许学生发表以MDPI为代表的开源出版社旗下杂志，若想发表此类刊物请自行退组;

3. 本課題組不接受不勤奮的學生，若對科研主題不上心且三個月內無進展，將換掉一作給更用功的學生; （*能接受早8-晚8的時間安排，凌晨、週末、假期還在學習做研究的就是勤奮的！）

4. 本课题组不接受一年制硕士，2024年秋季学期起校内硕士若在第二年想要进组做研究，必须接受延毕一年，若延期一年后仍无论文产出，自行退组;

5. 自2024年9月15日之後入組的研究生和本科生，暑假時間也需要留校做研究，如果做不到暑假留校做研究那就自行退组;

6. 為了提高學生做研究的效率和科研成果的產量，本課題組要求組內學生周一至週五（週末，上課時間除外）每天和我一起在研討室開展全天學術研究，具体时间如下:

   上午 8:00 - 12:00

   下午 13:30 - 17:00

   晚上 18:00 - 20:00

7. 做科研需要大量时间和精力的投入，研究生应以论文成果为导向，而不是上课。对于喜欢花太多精力在研究生课程/考试上的学生，本课题组不适合你们;

8. 在研讨室做研究、写论文期间不允许学生干任何和研究生课程相关的事，关于研究生课程的学习请自行安排时间，如果不能接受请自行退组。

若無法接受上述要求，請勿聯繫！本課題組只安排學生做研究寫論文。本人暂时沒有任何橫向項目。

若對我的方向感興趣並且能接受以上研究安排，請提前通過郵件 jxyang@must.edu.mo 聯繫我，謝謝關注！