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Associate Professor Miguel Angel Moyers Gonzalez

Contact

Department: Mathematics and Statistics

Email: miguel.moyersgonzalez@canterbury.ac.nz

Direct Dial: +64 3 3692467

Office: Jack Erskine 700

Languages: English, Spanish

About
Research / Creative works
Networks
Projects
Methods & Equipment

Fields of Research

  • Non-Newtonian Fluid Mechanics
  • Hydrodynamic stability of complex fluids
  • Computational mathematics
  • Haemodynamics

Researcher Summary

My primary research interests are in the mathematical
analysis and computation of complex fluid flows. In broad terms,
the problems I have studied involve the combination of physical
understanding, i.e. of a particular application, coupled with both
theoretical and computational techniques for partial differential
equations.

Subject Area: Disciplines

  • Mathematics: Applied Mathematics

Resources

  • Department webpage

Research/Scholarly/Creative Works

Journal Articles
  • Moyers-Gonzalez M., Hewett JN., Cusack DR., Kennedy BM. and Sellier M. (2023) Non-isothermal thin-film flow of a viscoplastic material over topography: critical Bingham number for a partial slump. Theoretical and Computational Fluid Dynamics http://dx.doi.org/10.1007/s00162-023-00642-5.
  • Saleh M., Roy-Chowdhury AB. and Moyers Gonzalez M. (2023) A statistical analysis of the effect of confining pressure on deformation characteristics of HMA mixtures in the Modified Wheel Track Testing. Journal of Materials and Structures http://dx.doi.org/10.1617/s11527-023-02106-y.
  • McGeorge EK., Moyers-Gonzalez M., Wilson PL. and Sellier M. (2022) An augmented lagrangian algorithm for recovery of ice thickness in unidirectional flow using the shallow ice approximation. Applied Mathematical Modelling 107: 650-669. http://dx.doi.org/10.1016/j.apm.2022.03.001.
  • McGeorge EK., Moyers-Gonzalez M., Wilson PL. and Sellier M. (2022) An augmented lagrangian algorithm for recovery of ice thickness in unidirectional flow using the shallow ice approximation. Applied Mathematical Modelling 107: 650-669. http://dx.doi.org/10.1016/j.apm.2022.03.001.
  • Moyers-Gonzalez M. and Sellier M. (2022) Inferring rheological properties and topographical features from free surface flow data. Science Talks 3 100064: 100064-100064. http://dx.doi.org/10.1016/j.sctalk.2022.100064.
  • Moyers-González M., Castelain C. and Burghelea T. (2022) Numerical study of unsteady pipe flow of an elastoviscoplastic fluid. Journal of Non-Newtonian Fluid Mechanics 309 http://dx.doi.org/10.1016/j.jnnfm.2022.104898.
  • Roy-Chowdhury AB., Saleh MF. and Moyers-Gonzalez M. (2022) Empirical correlation of the modified wheel tracker (MWT) and the dynamic creep test for evaluating the permanent deformation of hot mix asphalt (HMA). Canadian Journal of Civil Engineering 49(5): 802-812. http://dx.doi.org/10.1139/cjce-2020-0599.
  • Pancholy P., Clemens K., Geoghegan P., Jermy M., Moyers Gonzalez M. and Wilson PL. (2021) Numerical study of flow structure and pedestrian-level wind comfort inside urban street canyons. Journal of the Royal Society of New Zealand (Special Issue: Fluids in New Zealand) http://dx.doi.org/10.1080/03036758.2021.1892776.
  • Roy-Chowdhury AB., Saleh MF. and Moyers-Gonzalez M. (2021) Characterisation of permanent deformation behaviour of asphalt mix based on a combined elastic plastic (Cep) parameter. Infrastructures 6(12) http://dx.doi.org/10.3390/infrastructures6120183.
  • Liz M., Sellier M., Moyers Gonzalez M. and Wilson P. (2020) Bedrock reconstruction from free surface data for unidirectional glacier flow with basal slip. Acta Mechanica 232(1): 305-322. http://dx.doi.org/10.1007/s00707-020-02845-x.
  • Moyers-Gonzalez M. and Frigaard IA. (2020) Dean flow of a Bingham fluid in a curved rectangular duct. Journal of Non-Newtonian Fluid Mechanics 286 http://dx.doi.org/10.1016/j.jnnfm.2020.104440.
  • Al-Behadili AJM., Sellier M., Hewett J., Nokes R. and Moyers-Gonzalez M. (2019) Identification of Ellis rheological law from free surface velocity. Journal of Non-Newtonian Fluid Mechanics 263: 15-23. http://dx.doi.org/10.1016/j.jnnfm.2018.10.010.
  • AL-Behadili AJM., Sellier M., Nokes R., Moyers-Gonzalez M. and Geoghegan PH. (2019) Rheometry based on free surface velocity. Inverse Problems in Science and Engineering 27(5): 689-709. http://dx.doi.org/10.1080/17415977.2018.1509965.
  • Burghelea T., Moyers-Gonzalez M. and Sainudiin R. (2017) A nonlinear dynamical system approach for the yielding behaviour of a viscoplastic material. Soft Matter 13(10): 2024-2039. http://dx.doi.org/10.1039/C6SM02361D.
  • Pancholy PP., Clemens K., Geoghegan P., Jermy M., Moyers-Gonzalez M. and Wilson PL. (2017) Numerical Study of Flow and Pedestrian Level Wind Comfort Inside Uniform and Non-Uniform Street Canyons with Different Street Width to Building Height Aspect Ratios. .
  • de Bruyn JR., Moyers-Gonzalez M. and Frigaard I. (2016) Viscoplastic Fluids from Theory to Application: 10 Years On. Journal of Non-Newtonian Fluid Mechanics 238: 1-5. http://dx.doi.org/10.1016/j.jnnfm.2016.11.008.
  • Treskatis T., Moyers-González MA. and Price CJ. (2016) An accelerated dual proximal gradient method for applications in viscoplasticity. Journal of Non-Newtonian Fluid Mechanics 238: 115-130. http://dx.doi.org/10.1016/j.jnnfm.2016.09.004.
  • Sainudiin R., Moyers-Gonzalez M. and Burghelea T. (2015) A microscopic Gibbs field model for the macroscopic yielding behaviour of a viscoplastic fluid. Soft Matter 11: 5531-5545. http://dx.doi.org/10.1039/c5sm00857c.
  • Ebrahimi M., Saleh M. and Gonzalez M. (2014) Investigating Applicability of Complex Modulus and Creep Compliance Interconversion in Asphalt Concrete. Journal of Advances in Civil Engineering Materials 3(1): 107-121. http://dx.doi.org/10.1520/ACEM20130103.
  • Ebrahimi MG., Saleh MF. and Gonzalez MM. (2014) Dynamic modulus determination from Australian IDT test. Journal of Transport and Road Research 23(4): 3-15.
  • Ebrahimi MG., Saleh MF. and Gonzalez MM. (2014) Interconversion between viscoelastic functions using the Tikhonov regularisation method and its comparison with approximate techniques. Road Materials and Pavement Design 15(4): 820-840. http://dx.doi.org/10.1080/14680629.2014.924428.
  • Poumaere A., Moyers-González M., Castelain C. and Burghelea T. (2014) Unsteady laminar flows of a Carbopol® gel in the presence of wall slip. Journal of Non-Newtonian Fluid Mechanics 205: 28-40. http://dx.doi.org/10.1016/j.jnnfm.2014.01.003.
  • Ebrahimi MG., Saleh M. and Moyers Gonzalez MA. (2013) The Interrelationship between Indirect Resilient Modulus and Dynamic Modulus for Dense Graded Hot Mix Asphalt. International Journal of Pavement Research and Technology 6(5): 465-471. http://dx.doi.org/10.6135/ijprt.org.tw/2013.6(5).465.
  • Moyers-Gonzalez M., Alba K., Taghavi SM. and Frigaard IA. (2013) A semi-analytical closure approximation for pipe flows of two Herschel-Bulkley fluids with a stratified interface. Journal of Non-Newtonian Fluid Mechanics 193: 49-67. http://dx.doi.org/10.1016/j.jnnfm.2012.06.008.
  • Taghavi SM., Alba K., Moyers-Gonzalez MA. and Frigaard IA. (2012) Incomplete fluid-fluid displacement of yield stress fluids in near-horizontal pipes: Experiments and theory. Journal of Non-Newtonian Mechanics 167-168: 59-74. http://dx.doi.org/10.1016/j.jnnfm.2011.10.004.
  • Weber E., Moyers-González M. and Burghelea TI. (2012) Thermorheological properties of a Carbopol gel under shear. Journal of Non-Newtonian Fluid Mechanics 183-184: 14-24. http://dx.doi.org/10.1016/j.jnnfm.2012.07.005.
  • Moyers-Gonzalez MA., Burghelea TI. and Mak J. (2011) Linear stability analysis for plane-Poiseuille flow of an elastoviscoplastic fluid with internal microstructure for large Reynolds numbers. Journal of Non-Newtonian Fluid Mechanics 166(9-10): 515-531. http://dx.doi.org/10.1016/j.jnnfm.2011.02.007.
  • Moyers-Gonzalez M., Frigaard IA. and Nouar C. (2010) Stable two-layer flows at all Re; visco-plastic lubrication of shear-thinning and viscoelastic fluids. Journal of Non-Newtonian Fluid Mechanics 165(23-24): 1578-1587. http://dx.doi.org/10.1016/j.jnnfm.2010.08.005.
  • Moyers-Gonzalez MA. and Frigaard IA. (2010) The critical wall velocity for stabilization of plane Couette-Poiseuille flow of viscoelastic fluids. Journal of Non-Newtonian Fluid Mechanics 165(7-8): 441-447. http://dx.doi.org/10.1016/j.jnnfm.2010.01.005.
  • Moyers-Gonzalez MA. and Owens RG. (2010) Mathematical modelling of the cell-depleted peripheral layer in the steady flow of blood in a tube. Biorheology 47(1): 39-71. http://dx.doi.org/10.3233/BIR-2010-0558.
  • Moyers-Gonzalez MA. and Frigaard IA. (2009) Kinematic instabilities in two-layer eccentric annular flows, part 2: shear-thinning and yield-stress effects. Journal of Engineering Mathematics 65(1): 25-52. http://dx.doi.org/10.1007/s10665-008-9260-0.
  • Moyers-Gonzalez MA., Owens RG. and Fang J. (2009) On the high frequency oscillatory tube flow of healthy human blood. Journal of Non-Newtonian Fluid Mechanics 163(1-3): 45-61. http://dx.doi.org/10.1016/j.jnnfm.2009.06.005.
  • Moyers-Gonzalez M., Owens RG. and Fang JF. (2008) A non-homogeneous constitutive model for human blood: Part 1. Model derivation and steady flow. Journal of Fluid Mechanics 617: 327-354. http://dx.doi.org/10.1017/S002211200800428X.
  • Moyers-Gonzalez MA. and Frigaard IA. (2008) Kinematic instabilities in two-layer eccentric annular flows, part 1: Newtonian fluids. Journal of Engineering Mathematics 62(2): 103-131. http://dx.doi.org/10.1007/s10665-007-9178-y.
  • Moyers-Gonzalez MA. and Owens RG. (2008) A non-homogeneous constitutive model for human blood: Part II. Asymptotic solution for large Peclet numbers. Journal of Non-Newtonian Fluid Mechanics 155(3): 146-160. http://dx.doi.org/10.1016/j.jnnfm.2008.06.009.
  • Moyers-Gonzalez MA., Owens RG. and Fang J. (2008) A non-homogeneous constitutive model for human blood: Part III. Oscillatory flow. Journal of Non-Newtonian Fluid Mechanics 155(3): 161-173. http://dx.doi.org/10.1016/j.jnnfm.2008.04.001.
  • Moyers-Gonzalez MA., Frigaard IA., Scherzer O. and Tsai TP. (2007) Transient effects in oilfield cementing flows: Qualitative behaviour. European Journal of Applied Mathematics 18(4): 477-512. http://dx.doi.org/10.1017/S0956792507007048.
  • Moyers-Gonzalez MA. and Frigaard IA. (2004) Numerical solution of duct flows of multiple visco-plastic fluids. Journal of Non-Newtonian Fluid Mechanics 122(1-3): 227-241. http://dx.doi.org/10.1016/j.jnnfm.2003.12.010.
  • Moyers-Gonzalez MA., Frigaard IA. and Nouar C. (2004) Nonlinear stability of a visco-plastically lubricated viscous shear flow. Journal of Fluid Mechanics 506: 117-146. http://dx.doi.org/10.1017/S0022112004008560.
Conference Contributions - Published
  • Moyers Gonzalez M., Hewett J., Cusack D., Kennedy B. and Sellier M. (2022) Thin-film flow of a Bingham fluid over topography with a temperature-dependent rheology. In.
  • Moyers Gonzalez M., Sellier M., McGeorge EK. and Wilson PL. (2022) Beneath the surface: recovery of ice thickness from observations. In.
  • Roy-Chowdhury A., Saleh M. and Gonzalez M. (2022) Finite element modelling of permanent deformation of hot mix asphalt tested in the Modified Wheel Tracker (MWT). In ISBN 978-1-032-12049-2 Volume 2.
  • Roy-Chowdhury AB., Saleh MF. and Moyers-Gonzalez M. (2021) Ruggedness testing of the factors affecting the permanent deformation behavior studied under the Modified Wheel Tracker (MWT). In Airfield and Highway Pavements 2021: Pavement Materials and Sustainability - Selected Papers from the International Airfield and Highway Pavements Conference 2021: 67-79. http://dx.doi.org/10.1061/9780784483510.007.
  • 1. Chowdhury A., Saleh M. and Gonzalez M. (2020) Precision Assessment of the Modified Wheel Tracking Device Based on Small-Scale Testing of New Zealand Hot Mix Asphalt. In.
  • Hewett J., Sellier M., Cusack D., Kennedy B., Moyers-Gonzalez M. and Monnier J. (2020) Describing Lava Rheology using Flow Dynamics Information. In Australasian Fluid Mechanics Conference (AFMC) The University of Queensland. http://dx.doi.org/10.14264/2232cdd.
  • Pancholy PP., Clemens K., Geoghegan P., Jermy M., Moyers-Gonzalez M. and Wilson PL. (2016) Numerical study of flow pattern and pedestrian level wind comfort inside a uniform street canyon at different angles of attack. In http://people.eng.unimelb.edu.au/imarusic/proceedings/20%20AFMC%20TOC.htm: 4.
  • Poumaere A., Moyers-Gonzalez M., Castelain C. and Burghelea T. (2013) Écoulement laminaire non stationnaire d'un gel de Carbopol dans un tube. In.
  • Sweid M., Moyers-Gonzalez M., Wilson PL., Castelain C. and Burghelea T. (2013) Le problem de Landau-Levich pour un fluide viscoplastique. In.
Conference Contributions - Other
  • Hewett J., Sellier M., Moyers Gonzalez M., Cusack D. and Kennedy B. (2022) Isothermal thin-film flow of a viscoplastic material around an occlusion. Auckland: Fluids in New Zealand 2022, 27 Jan 2022.
  • McGeorge E., Moyers Gonzalez M., Sellier M. and Wilson P. (2022) Beneath the surface: recovery of ice thickness from observations. Auckland: Fluids in New Zealand 2022, 27 Jan 2022.
  • Moyers Gonzalez M., Hewett J., Cusack D., Kennedy B. and Sellier M. (2022) Nonisothermal thin-film flow of a viscoplastic material over topography. Auckland: Fluids in New Zealand 2022, 27 Jan 2022.
  • McGeorge E., Moyers Gonzalez M., Sellier M. and Wilson P. (2021) Recovery of bedrock topography in ice flows: an exploration using optimisation methods. Christchurch: Fluids in New Zealand, 27-29 Jan 2021.
  • McGeorge E., Moyers Gonzalez M., Wilson PL. and Sellier M. (2020) Bedrock Recovery for Unidirectional Ice Flow with Basal Slipping. Christchurch, New Zealand: Southern Exposure: Antarctic Research at the University of Canterbury, 30-31 Jan 2020.
  • Wilson PL., McGeorge E., Moyers Gonzalez M. and Sellier M. (2020) Bedrock Recovery for Unidirectional Ice Flow with Basal Slipping. University of Massey, Albany: Fluids in New Zealand 2020, 30-31 Jan 2020.
  • Pancholy PP., Geoghegan P., Jermy M., Moyers Gonzalez M. and Wilson PL. (2018) Numerical Study of the Impact of Rooftop Panels on Pedestrian Comfort. Auckland, New Zealand: Fluids in New Zealand, FiNZ Conference, 8-9 Feb 2018.
Reports
  • Treskatis T., Moyers-Gonzalez MA. and Price CJ. (2015) A trust-region SQP method for the numerical approximation of viscoplastic fluid flow. arXiv:1504.08057..

Editorial Work

  • New Zealand Mathematical Society Newsletter Co-editor ( 2016 - 2018)
  • New Zealand Mathematical Society Newsletter Editor ( 2016 - 2023)

Review and Refereeing

  • ACTA MECCANICA; Journal of Non-Newtoinian Fluid Mechanics; Physics of Fluids; European Physcial Journal E; International Journal of Non-Linear Mechanics; K-A Rheology Journal; Soft Matter ( 2007 - 2023)

Research Groups

  • Computational Mathematics

Research Projects

  • Numerical Analysis of Viscoplastic Flows

Future Research

  • Stability of complex fluids with microstructure

Key Methodologies

  • Numerical analysis
  • Perturbation and asymptotic methods
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