Dr. Puskar Raj Pokharel

Dr. Puskar Raj Pokharel
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Assoc. Professor
Applied Mathematics
Mathematical Modeling, Numerical Methods, Computing and Simulations, Differential Equations
Research Profiles

 Puskar Raj  Pokhrel

 Associate Professor

(Applied and Computational Mathematics)

 Department of Applied Sciences & Chemical Engineering

 Pulchowk Campus, Institute of Engineering

 Tribhuvan University, Lalilpur, Nepal

Email: puskar.pokharel@pcampus.edu.np/

 Ph. No.: +977-9841529076 (mobile)

Mailing Address: GPO Box: 19910,  Kathmandu, Nepal

Permanent Address: Kirtipur-2, Tanglaphat, Kathmandu

 Nepal

 

Puskar Raj Pokhrel received  his Master’s Degree in Mathematics from Tribhuvan University, Nepal in 1995 (AD) in the first division, and MPhil in 2014 (AD), from Kathmandu University, School of Science, Dhulikhel, Kavre Nepal, under the supervision of Prof. Dr. Shiva P. Pudasaini and Prof. Dr. Dil B. Gurung. The topic of his MPhil dissertation is General Phase-Eigenvalues for Two-phase Mass Flows: Supercritical and Subcritical States. Dr. Pokhrel has visited the University of Kaiserslautern, Germany in 2014 for research stay under the DAAD program South Network: Modeling and Analysis in Industry and Finance. He received his PhD  in 2019 (AD) from Kathmandu University, School of Science, Department of Mathematics, Dhulikhel, Kavre Nepal, under the supervision of Prof. Dr. Bhadra Man Tuladhar and Prof. Dr. Shiva P. Pudasaini. The topic of his PhD dissertation is Generalized Quasi Two-Phase Bulk Mixture Models for Mass Flow. Dr. Pokhrel is currently working in the Department of  Applied Sciences &  Chemical Engineering, Pulchowk Campus, Institute of Engineering, Tribhuvan University, Nepal in the capacity of Associate Professor, Nepal. Dr. Pokhrel has published a number of research papers in national and international journals. His research areas are Applied and Computational Mathematics, especially in the modeling and computation of two-phase mass flow. He has participated and presented  his research  work in many national and international conferences and workshops. He has been teaching Numerical methods and computing, Differential equation courses in Bachelor’s degree program.  He is life member of Nepal Mathematical Society (NMS).

 


Links:  Research Gate, Google Scholar   

 

 

 

 

 

  List of Publications

               

            Thesis/Books

  • Pokhrel PR (2019), Generalized Quasi Two-Phase Bulk Mixture Models for Mass Flow. PhD Thesis, School of Science, Kathmandu University, Nepal
  • Pokhrel PR (2014), Generalized Eigenvalues and Wave Speeds for Two-phase Mass flows: Supercritical and Subcritical States. MPhil Thesis, School of Science, Kathmandu University, Nepal

        Articles

  1. Published In International Journals
  • Kafle J, Gaire HP, Pokhrel PR, Kattel P (2022) Analysis of blood flow through curved artery with mild stenosis. Mathematical Modeling and Computing, 9(2), 217-225, doi: :10.23939/mmc2022.02.217.
  • Kafle J, Acharya G, Kattel P, Pokhrel PR (2022) Impact of variation of size of the initial release mass in the dynamics of landslide generated tsunami. International Journal of Modeling, Simulation, and Scientific Computing, 13(5) doi: 10.1142/S1793962322500556.
  • Kafle J, Kattel P, Pokhrel PR, Khattri KB, (2021) Numerical Experiments on Effect of Topographical Slope Changes in the Dynamics of Landslide Generated Water Waves and Submarine Mass Flows. Journal of Applied Fluid Mechanics, doi: 10.47176/jafm.14.03.31740.
  • Pokhrel PR, Pudasaini SP (2019) Stream function - vorticity formulation of mixture mass flow. International Journal of Non-Linear Mechanics, doi: 10.1016/j.ijnonlinmec.2019.103317.
  • Pokhrel PR, Tuladhar BM (2019) Determination of Phase-Eigenvalues by Rational Factorization and Enhanced Simulation of Two-Phase Mass Flow. Journal of Nepal Mathematical Society, 2(2). 61-77.
  • Pokhrel PR, Khattri KB, Pudasaini SP (2019) A simple stream function-vorticity formulation of mixture mass flows Geophysical Research Abstracts, 21, EGU2019-12140-1, 2019.
  • Pokhrel PR, Khattri KB,   Tuladhar BM, Pudasaini SP (2018) A generalized quasi two-phase mixture model for mass flows.  International Journal of Non-Linear Mechanics, 99: 229-239.
  • Pokhrel PR, Khattri KB,   Pudasaini SP (2018) A novel and generalized quasi two-phase mass flow model: Full-dimensional channel flow simulations. Geophysical Research Abstracts, 21, EGU2018-1097-1, 2018.
  • Kafle J, Pokhrel PR, Khattri KB, Kattel P, Tuladhar BM, Pudasaini SP (2016) Landslide-generated tsunami and particle transport in mountain lakes, reservoirs. Annals of Glaciology, 57(71): 232-244 doi: 10.3189/2016AoG71A034.
  • Kattel P, Khattri KB, Pokhrel PR, Kafle J, Tuladhar BM, Pudasaini SP (2016) Simulating glacial lake outburst flood using a two-phase mass flow model. Annals of Glaciology, 57(71): 349-358 doi: 10.3189/2016AoG71A039.
  • Pudasaini SP , Kattel P, Kafle J, Pokhrel PR, Khattri KB (2014) Two-phase and three dimensional simulations of complex fluid-sediment transport down a slope and impacting water bodies. Geophysical Research Abstracts, 16, EGU2014-5084.
  • Pokhrel PR, Khattri KB, Kattel P, Kafle J, Gurung DB, Pudasaini, SP (2013) Enhanced Descriptions of Real Two-Phase Landslides and Debris Flows.   J. Lsld. Env. 1(1), 75-76.
  • Khattri KB, Pokhrel PR, Kafle J, Kattel P, Gurung DB, Pudasaini, SP (2013) Some New Insights into the Fluid Flows in Debris Material and Porous Landscape. J. Lsld. Env. 1(1), 43-44.
  • Kafle J, Kattel P, Pokhrel PR, Khattri KB, Gurung DB, Pudasaini SP (2013) Dynamic Interaction Between a Two-Phase Submarine Landslide and a Fluid Reservoir. J. Lsld. Env. 1(1), 35-36.
  • Kattel P, Kafle J, Khattri KB, Pokhrel PR, Gurung DB, Pudasaini SP (2013) Dynamics of Three-Dimensional, Two-Phase Landslides and Debris Flows. J. Lsld. Env. 1(1), 39-40.

   List of Presented Papers

  • Pokhrel PR, Khattri KB, Kattel P, Kafle J, Gurung DB, Pudasaini SP (2013)Enhanced descriptions of real two phase landslides and debris flows. In: The 11th International Symposium on Mitigation of Geo-disasters in Asia (MGDA-11), October 22-28, Kathmandu and Pokhara, Nepal.
  • Kattel P, Kafle J, Khattri KB, Pokhrel PR, Gurung DB, Pudasaini SP (2013) Dynamics of three-dimensional, two phase landslides and debris flows.

In: The 11th International Symposium on Mitigation of Geo-disasters in Asia (MGDA-11), October 22-28, Kathmandu and Pokhara, Nepal.

  • Kafle J, Kattel P, Pokhrel PR, Khattri KB, Gurung DB, Pudasaini SP (2013) Dynamic interaction between a two phase submarine landslide and a fluid reservoir.

In: The 11th International Symposium on Mitigation of Geo-disasters in Asia (MGDA-11), October 22-28, Kathmandu and Pokhara, Nepal.

  • Khattri KB, Pokhrel PR, Kafle J, Kattel P, Gurung DB, Pudasaini SP (2013) Some new insights into the fluid flows in debris material and porous landscape.

In: The 11th International Symposium on Mitigation of Geo-disasters in Asia (MGDA-11), October 22-28, Kathmandu and Pokhara, Nepal.

  • Pokhrel PR, Khattri KB, Kattel P, Kafle J, Gurung DB, Pudasaini SP (2014) General phase-eigenvalues for two-phase mass flows and their implications in enhanced simulations.

In: The 5th National Conference of Mathematics (NCM-2014), Nepal Mathematical Society, January 28-30, Surkhet, Nepal.

  • Khattri KB, Pokhrel PR, Kafle J, Kattel P, Gurung DB, Pudasaini SP (2014) Some exact and numerical solutions for fluid flows in debris and porous media with sub-diffusive and sub-advective model.

In: The 5th National Conference of Mathematics (NCM-2014), Nepal Mathematical Society, January 28-30, Surkhet, Nepal.

  • Kattel P, Kafle J, Pokhrel PR, Khattri KB, Gurung DB, Pudasaini SP (2014) Physical-mathematical modeling and high-resolution simulations of a real two-phase, three dimensional debris flow dynamics.

In: The 5th National Conference of Mathematics (NCM-2014), Nepal Mathematical Society, January 28-30, Surkhet, Nepal.

  • Kafle J, Kattel P, Pokhrel, PR, Khattri, KB, Gurung DB, Pudasaini SP(2014) A two-phase, 3D subaerial debris-flow impinging a reservoir: Dynamics of induced tsunami and submarine debris flows.

In: The 5th National Conference of Mathematics (NCM-2014), Nepal Mathematical Society, January 28-30, Surkhet, Nepal.

  • Pokhrel PR, Khattri KB, Kattel P, Kafle J, Tuladhar BM, Pudasaini SP (2014) Enhanced simulations of two phase mass flows with general phase-eigenvalues and phase-wave-speeds.

 In: Applied Mathematics Seminar- Mathematics with Applications at the Central Department of Mathematics, Kirtipur, TU, September 19-20, Kathmandu, Nepal.

  • Khattri KB, Pokhrel PR, Kafle J, Kattel P, Tuladhar BM, Pudasaini SP (2014) Sub-diffusive and sub-advective model for fluid flows in porous/debris media: Some exact and numerical solutions.

In: Applied Mathematics Seminar-Mathematics with Applications at the Central Department of Mathematics, Kirtipur, TU, September 19-20, Kathmandu, Nepal,.

  • Kattel P, Kafle J, Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2014) Some High-resolution simulation results for quasi-three-dimensional and two phase mass flow dynamics.

 In: Applied Mathematics Seminar-Mathematics with Applications at the Central Department of Mathematics, Kirtipur, TU, September 19-20, Kathmandu, Nepal.

  • Kafle J, Kattel P, Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2014) Mathematical modeling and simulation of a two-phase and three-dimensional submarine landslide and a fluid reservoir.

In: Applied Mathematics Seminar-Mathematics with Applications at the Central Department of Mathematics, Kirtipur, TU, September 19-20, Kathmandu, Nepal

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2015)  Coupling of  Depth-averaged  and  Non-depth averaged Two-phase  Mass Flow Model.

 In:     A Seminar on Recent Developments in Mathematics and its Applications,   Central Department of Mathematics, Tribhuvan University, September 21 - 22,    Kathmandu, Nepal.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2015) A structurally new full two-dimensional and two-phase mass flow model down channel.

In: A Seminar on Recent Developments in Mathematics and its Applications, Central Department of Mathematics, Tribhuvan University, September 21 - 22,  Kathmandu, Nepal.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2016) A Coupled and Efficient Multiscale Modeling of Two-phase Mass Flows.

In: Applications of Mathematics to Nonlinear Sciences (AMNS - 2016), May 26 - 29, Tribhuvan University, Kathmandu, Nepal.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2016) Full two-dimensional and two-phase mass flows down a channel: Mathematical modeling and simulation.

In: Applications of Mathematics to Nonlinear Sciences (AMNS - 2016), May 26 - 29, Tribhuvan University, Kathmandu, Nepal.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2016) Coupled Model  of  Two-Phase Mass Flows.

In:      DAAD partnership workshop on ``An Introduction to Mathematical Biology  and  Scientific Computing with Python (IMBSCP - 2016)', July 25 - August 5,  Kathmandu University, Dhulikhel, Nepal.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2016) Significance of Multiscale Modeling of Two-Phase Mass Flows.

In: Scientific learning exchange on landslide management and bio-engineering in Nepal: from data to landslide mitigation - new venues for collaboration. Organized by Department of Soil Conservation and Watershed Management (DSCWM), Government of Nepal, October 2, Kathmandu, Nepal.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2016) Simulating           full-dimensional mixture mass flows down channels.

In: Scientific learning exchange on landslide management and bio-engineering in Nepal: from data to landslide mitigation  new venues for collaboration. Organized by Department of Soil Conservation and Watershed Management (DSCWM), Government of Nepal, October 2,  Kathmandu, Nepal.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini  SP (2017)  A Novel Derivation of Generalized Quasi Two-Phase Mass Flow Model.

In: National Conference on Mathematics and Its Applications (NCMA - 2017), January 11 - 13,  Birendra Multiple Campus, Tribhuvan University,  Chitawan, Nepal.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2017) A fast and efficient simulation of a generalized quasi two-phase mass flow.

In: National Conference on Mathematics and Its Applications (NCMA - 2017), January 11 - 13, Birendra Multiple Campus, Tribhuvan University,  Chitawan, Nepal.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2017) Derivation and Significance of a Generalized Quasi Two-Phase Mass Flow Model.

In: International Conference on Exploring Advances in Mathematical Sciences (ICEAMS - 2017), March 23 - 24, Malda, University of Gour Banga, West Bengal, India.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2017) Simulating a generalized quasi two-phase mass flow model.

In: International Conference on Exploring Advances in Mathematical Sciences (ICEAMS - 2017), March 23 - 24, Malda, University of Gour Banga, West Bengal, India.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2017) A new generalized quasi two-phase mass flow model: A well structured system of highly non-linear partial differential equation.

In: International conference on Partial Differential Equations - Silkroad Mathematics Center Series International conferences organized by: Silkroad Mathematics Center, Chinese Mathematical Society & Academy of Mathematics and Systems Science, Chinese Academy of Sciences, April 10 - 21, Beijing, China.

  • Pokhrel PR, Tuladhar BM (2017) A Generalized Quasi Two-Phase Mass Flow Model.

In: National Conference on History and Recent Trends of Mathematics (NCHRTM - 2017), June 2 - 4, Nepal Sanskrit University, Kathmandu, Nepal.

  • Pokhrel PR, Tuladhar BM (2017) A Generalized Quasi Two-Phase Mass Flow Model: derivation and Some Essence.

In:  7th International Science Conference (ISC - 2017), Kathmandu University, November 10 - 11,  Dhulikhel, Nepal.              

  • Pokhrel PR, Tuladhar BM (2018) Generalized Quasi Two-Phase Mixture Mass Flow Model: Derivation and Description.

In: International Conference on Recent Advances in Mathematical and Physical Sciences (ICRAMPS - 2018), January 27 - 29,  Jahangirnagar  University,   Dhaka, Bangaladesh.

  • Pokhrel PR, Khattri KB, Tuladhar BM, Pudasaini SP (2018) A novel  and generalized quasi two-phase mass flow model: Full-dimensional channel flow simulations.

In:  European Geosciences Union (EGU - 2018), April 8 - 13, Vienna, Austria.

  • Khattri KB, Pokhrel PR, Tuladhar BM, Pudasaini SP (2018) Simulating a generalized quasi two-phase mass flow model.

In:  European Geosciences Union (EGU - 2018), April 8 - 13, Vienna, Austria.

  • Pokhrel PR, Tuladhar BM (2018) Multiscale Modeling of Quasi Two-Phase Mixture Mass Flow Model.

In: ICUI-IWR(Interdisciplinary Center for Scientific Computing) Joint Workshop on Numerical Solution of Partial Differential Equations (DUNE/PDE Lab,  2018), October 1 - 5,   COMSATS   University, Islamabad, Pakistan.

  • Pokhrel PR, Tuladhar BM (2018) Description of a New Generalized Quasi Two-Phase Mixture Mass Flow Model.

In: International Conference on Advances in Computational Mathematics (ICACM - 2018), December 23 - 24, 2018, Tribhuvan University, Kathmandu, Nepal.

  • Pokhrel PR, Tuladhar BM (2019) Specification of a Generalized Quasi Two-Phase  Bulk Mixture  Mass Flow Model.

In: National  Conference on  Mathematics and its Applications (NCMA - 2019),  January 12 - 15,  Butwal Multiple Campus,  Tribhuvan  University,    Butwal,  Nepal.

  • Pokhrel PR, Khattri KB, Pudasaini SP (2019) A simple stream function-vorticity formulation of mixture mass flows

In:  European Geosciences Union (EGU - 2019), April 7 - 12, Vienna, Austria. 

  • Pokhrel PR (2019) Generalized Bulk Mixture Mass Flow Model.

In: Multiphase Mass Flows - Nature, Physics, Mathematics, and Engineering,  August 7-8,  Central Department of Mathematics, Tribhuvan University,  Kirtipur,  Nepal.

 

Participation

  • National Conference on Mathematics, organized by Nepal Mathematical Society, January 17-19, 2010, Biratnagar.
  • A Summer School on “Mathematical Modeling and Scientific computing with Differential Equations”, organized by Industrial Mathematics Group of Technische Universitat Kaiserslautern, Germany and Kathmandu University, September 24-28, 2012.
  • A Summer School on “Numerical Analysis and Applications”, Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, Nepal, June 24-29, 2013.
  • DAAD Partnership Activities Workshop organized by Department of Natural Sciences, School of Science, Kathmandu University on Numerical Methods for Ordinary and Partial Differential Equations, September 2-13, 2013, Kathmandu University, Dhulikhel, Nepal.
  • The 11th International Symposium on Mitigation of Geo-disasters in Asia on the 22nd to 28th days of October 2013 organized by Himalyan Landslide Society and International Consortium on Geo-disaster Reduction.
  • A Unified and Novel Approach to the Physics and Mathematics of Complex Multiphase Mass Flows: Modelling, Dynamic Simulations and Applications in Natural Sciences and Engineering, Lectures delivered by Dr. Shiva P. Pudasaini, at Central Department of Mathematics, TU, Nepal, July 31-August 22, 2015.
  • A Seminar on Recent Developments in Mathematics and its Applications, Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal, September 21 - 22, 
  • Applications of Mathematics to Nonlinear Sciences (AMNS-2016). Jointly organized by Nepal Mathematical Society (NMS), Association of Nepalese Mathematicians in America (ANMA), Central Department of Mathematics (CDM) at Tribhuvan University, and Mathematics Division at Kathmandu University (KU), Kathmandu, Nepal, May 26 - 29, 2016.
  • DAAD partnership workshop on An Introduction to Mathematical Biology and Scientific Computing with Python (IMBSCP-2016). Kathmandu University (KU), Nepal, July 25- August 5, 2016.
  • One day compact course on ‘’Modeling and Simulation of Interacting Particle Systems and Its Applications to Real Life Problems’’ Organized by Department of Natural Sciences, Kathmandu University. Kathmandu, Nepal, 29 September, 2016.
  • Scientific learning exchange on landslide management and bio-engineering in Nepal: from data to landslide mitigation-new venues for collaboration. Organized by Department of Soil Conservation and Watershed Management (DSCWM - 2016), Government of Nepal, Kathmandu, Nepal, 2 October, 2016.
  • National Conference on Mathematics and Its Applications (NCMA - 2017), Birendra Multiple Campus, Tribhuvan University,  Chitawan, Nepal, January 11 - 13, 2017.
  • International Conference on Exploring Advances in Mathematical Sciences (ICEAMS - 2017), University of Gour Banga, Malda, West Bengal, India, March 23 - 24, 2017.
  • International Conference on Partial Differential Equations-Silkroad Mathematics Centre Series International Conferences, April 10-21, 2017, Beijing, China. Organized by Silkroad Mathematics Center, Chinese Mathematical Society & Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
  • International Science Conference (ISC-2017) organized jointly by World Science Congress and Department of Biotechnology, Kathmandu University, Dhulikhel, Nepal, November 10 - 11, 
  • International Conference on Recent Advances in Mathematical and Physical Sciences (ICRAMPS-2018) organized by Faculty of Mathematical and Physical Sciences, Jahangirnagar University, Dhaka, Bangladesh, January 27 - 29, 2018.
  • CUI-IWR, joint Workshop on Numerical Solutions of PDE (DUNE/PDELab) jointly organized by Heidelberg University and COMSATS University in Islamabad, Pakistan, October 1 - 5, 2018.
  • International Conference on Advances in Computational Mathematics (ICACM - 2018), Tribhuvan University, Kathmandu, Nepal, December 23 - 24, 2018.
  • National Conference on Mathematics and its Applications (NCMA - 2019), Butwal Multiple Campus, Tribhuvan University, Butwal, Nepal, January 12 - 15, 2019.
  • European Geosciences Union (EGU -2019), General Assembly, Vienna, Austria, April 7 - 12,  
  • School in Mathematical Modeling, Simulations and Optimizations in Industrial Applications, Social Sciences and Biology, organized jointly by Kathmandu University, University of Kaiserlautern and Univeristy of Koblenz Landau in Kathmandu, Nepal, October 15 - 18,   21st   International Mathematics Conference 2019.
  • 21st International Mathematics Conference (IMC-2019) A biennial event of Bangladesh Mathematical Society, Dhaka, Bangladesh, December 06 - 08, 2019.

 

Research Grants/Financial Support

  • PhD Research Grant by University Grants Commission (UGC) Nepal    (PhD-2071/072-Sci. & Tech.-01).
  • Travel support has been obtained from Society for Mathematical Biology to participate in Mathematical Biology Workshop (MBW) for the participation in the International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2016). Held in Kathmandu, Nepal, 26-29, May, 2016.
  • Financial support has been obtained from Academy of Mathematics and Systems Science, Chinese Academy of Sciences to participate in International Conference on Partial Differential Equations-Silkroad Mathematics Centre Series International Conferences, April 10-21, Beijing. Organized by: Silkroad Mathematics Center, Chinese Mathematical Society & Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
  • Partial travel support has been obtained from University Grants Commission (UGC), Nepal to participate in European Geosciences Union General Assembly 2019, Vienna, Austria, 7-12 April, 2019.
  •  Financial support has been obtained From Heidelberg University and COMSATS University to participate in CUI-IWR, joint Workshop on Numerical Solutions of PDE (DUNE/PDELab) October1-5, 2018, Islamabad,