Professor

Mathematics & Statistics

#### Nail Yamaleev

2212 ENGR & COMP SCI BLDG

NORFOLK, 23529

**Ph.D.** in Mathematical Modeling and Numerical Methods, Moscow Institute of Physics and Technology, (1993)

## Contracts, Grants and Sponsored Research

- Yamaleev, N. "Physics-Bsd Special Collocation Mthds for Lg Eddy Simulations on Adaptive Grids" $328,601. Federal. August 31, 2017 - January 30, 2021
- Yamaleev, N. K.. "Efficient iterative solutions for turbulent flows" $20,000. June 2016 - August 2016
- Yamaleev, N. K.. and Shivakumar, K. "Center for Aviation Safety" $5,000,000. Federal. October 2009 - December 2015
- Yamaleev, N. K.. and Shivakumar, K. "Ultra Lightweight Microsystem Mechanics" $1,575,000. Federal. March 2008 - February 2013
- Yamaleev, N. "Improvements of Unstructured Finite Volume Solutions for Turbulent Flows" $115,258. Federal. February 1, 2012 - August 31, 2012
- Yamaleev, N. "Adjoint-based methodology for time-dependent optimal control (AMTOC)" $1,989,269. Federal. February 12, 2007 - January 31, 2012
- Yamaleev, N. "Validation of Modern CFD tools for Efficient Simulation of Synthetic Jet Actuators" $78,000. Federal. December 2003 - December 2005
- Yamaleev, N. "Ultrafast Multiscale High-Order Methods for PDEs" $50,000. Federal. January 2003 - September 2003

## Research Interests

Numerical PDEs, fluid dynamics

## Articles

- Upperman, J. First-order Positivity-preserving Entropy Stable Scheme for the 3-D compressible Navier-Stokes equations.
*Journal of Scientific Computing*. - Upperman, J. and Yamaleev, N. (2022). Positivity-preserving Entropy Stable Schemes for the 1-D compressible Navier-Stokes equations: First-order approximation.
*Journal of Computational Physics*466. - Yamaleev, N. and Upperman, J. (2022). Positivity-preserving Entropy Stable Schemes for the 1-D compressible Navier-Stokes equations: High-order flux limiting.
*Journal of Computational Physics*466. - Upperman, J. and Yamaleev, N. K.. (2019). Entropy Stable Artificial Dissipation Based on the Brenner Regularization of the Navier-Stokes Equations.
*Journal Computational Physics*393 , pp. 74-91. - Yamaleev, N. K.., Del Rey Fernandez, D. C.., Lou, J. and Carpenter, M. H.. (2019). Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids.
*Journal of Computational Physics*399. - Yamaleev, N. and Carpenter, M. H.. (2017). A family of fourth-order entropy stable non-oscillatory spectral collocation schemes for the 1-D Navier-Stokes equations.
*Journal of Computational Physics*331 , pp. 90-107. - Jones, M. and Yamaleev, N. (2016). Effect of lateral, downward, and frontal gusts on flapping wing performance.
*Computers & Fluids*140 , pp. 175-190. - Jones, M. and Yamaleev, N. (2015). Adjoint-based optimization of three-dimensional flapping-wing flows.
*AIAA Journal*53 (4) , pp. 934-947. - Fisher, T., Carpenter, M. H., Nordstrom, J. and Yamaleev, N. (2013). Discretely conservative finite-difference formulations for nonlinear conservation laws in split from: Theory and boundary conditions.
*Journal of Computational Physics*234 (1) , pp. 353-375. - Yamaleev, N. and Pathak, K. (2013). Nonlinear model reduction for unsteady discontinuous flows.
*Journal of Computational Physics*245 , pp. 1-13. - Fisher, T., Carpenter, M. H. and Yamaleev, N. (2011). Boundary closures for 4th-order Energy Stable WENO finite difference schemes.
*Journal of Computational Physics*230 (10) , pp. 3727-3752. - Nielsen, E., Diskin, B. and Yamaleev, N. (2010). Discrete adjoint-based design optimization of unsteady turbulent flows on dynamic unstructured grids.
*AIAA Journal*48 (6) , pp. 1195-1206. - Yamaleev, N., Diskin, B. and Nielsen, E. (2010). Local-in-time adjoint-based method for design optimization of unsteady compressible flows.
*Journal of Computational Physics*229 (14) , pp. 5395-5407. - Yamaleev, N. and Carpenter, M. H. (2009). A systematic methodology for constructing high-order energy stable WENO schemes.
*Journal of Computational Physics*228 (11) , pp. 4248-4272. - Yamaleev, N. and Carpenter, M. H. (2009). Third-order energy stable WENO scheme.
*Journal of Computational Physics*228 (8) , pp. 3025-3047. - Yamaleev, N. and Mohan, R. (2006). Effect of the phase transition on intra-tow flow behavior and void formation in liquid composite molding.
*International Journal of Multiphase Flow*32 (10) , pp. 1219-1233. - Yamaleev, N. and Carpenter, M. H. (2006). Quasi-1-D model for realistic 3-D synthetic jet actuators.
*AIAA Journal*44 (2) , pp. 208-216. - Yamaleev, N., Carpenter, M. H. and Ferguson, F. (2005). Reduced-order model for efficient simulation of synthetic jet actuators.
*AIAA Journal*43 (2) , pp. 357-369. - Yamaleev, N. and Carpenter, M. H. (2002). On accuracy of adaptive grid methods for captured shocks.
*Journal of Computational Physics*181 (1) , pp. 280-316. - Yamaleev, N. (2002). Optimal two-dimensional finite difference grids providing super-convergence.
*SIAM Journal on Scientific Computing*23 (5) , pp. 1707-1730. - Yamaleev, N. and Carpenter, M. H. (2001). Minimization of the truncation error by grid adaptation.
*Journal of Computational Physics*170 (2) , pp. 459-497. - Yamaleev, N. and Ballmann, J. (2000). Iterative space-marching method for compressible sub-, trans-, and supersonic flows.
*AIAA Journal*38 (2) , pp. 225-233. - Yamaleev, N. and Ballmann, J. (1998). Space-marching method for calculating steady supersonic flows on a grid adapted to the solution.
*Journal of Computational Physics*146 (1) , pp. 436-463. - Yamaleev, N. (1997). Marching method for solving the steady Euler equations on adaptive grids.
*Mathematical Modeling*9 (10) , pp. 83-97. - Utyuzhnikov, S. and Yamaleev, N. (1996). Three-dimensional supersonic turbulent flow near a body at small angles of attack.
*High Temperature*34 (4) , pp. 562-567. - Nabiev, V. N., Utyuzhnikov, S. and Yamaleev, N. (1995). The motion of a body through a large-scale inhomogeneity in a stratified atmosphere.
*Journal of Applied Mathematics and Mechanics*59 (3) , pp. 409-414. - Nabiev, V. N., Utyuzhnikov, S. and Yamaleev, N. (1994). Efficient numerical method for calculating the ballistic trajectory of an axisymmetric body flying at supersonic speed in a stratified atmosphere.
*Physics Doklady*39 (5) , pp. 398-401. - Tirskii, G., Utyuzhnikov, S. and Yamaleev, N. K.. (1994). Efficient numerical method for simulation of supersonic viscous flow past a blunted body at a small angle of attack.
*Computers & Fluids*23 (1) , pp. 103-114. - Muzafarov, I., Tirskii, G., Utyuzhnikov, S. and Yamaleev, N. K.. (1994). Numerical simulation of the flow over a body flying through a thermal in a stratified atmosphere.
*Computers & Fluids*23 (2) , pp. 295-304. - Tirskii, G., Utyuzhnikov, S. and Yamaleev, N. K.. (1992). Application of a small-parameter method to computing 3-D external viscous gas flows.
*Journal of Applied Mathematics and Mechanics*56 (6) , pp. 929-938. - Utyuzhnikov, S. and Yamaleev, N. K.. (1992). Method of global iterations for solving the 3-D viscous shock layer equations in the plane of symmetry of an axisymmetric body.
*Mathematical Modeling*4 (10) , pp. 88-100. - Muzafarov, I., Tirskii, G., Utyuzhnikov, S. and Yamaleev, N. K.. (1992). Numerical modeling of the viscous flow around a body flying through a cloud of hot gas.
*Mathematical Modeling*4 (9) , pp. 55-68.

## Book Chapters

- Yamaleev, N. (2014). Reduced-order modeling of synthetic jets
*Synthetic jets: Fundamentals and Applications*. - Carpenter, M. H., Fisher, T. and Yamaleev, N. (2013). Boundary Closures for Sixth-Order Energy Stable Weighted Essentially Non-oscillatory Finite –Difference Schemes
*Advances in Applied Mathematics, Mathematical Modeling and Computational Science*(pp. 117-160).

## Conference Proceeding

- Yamaleev, N. and Upperman, J. (2022). Positivity-preserving Entropy Stable Spectral Collocation Schemes of Arbitrary Order of Accuracy for the 3-D. Navier-Stokes equations 11-th International Concerence on Computational Fluid Dynamics (ICCFD11).
- Upperman, J. and Yamaleev, N. (2018). High-order nonlinearly stable artificial dissipation spectral collocation operators for the 1-D unsteady Navier-Stokes equations Proc. of the VSGC Research Conf.
- Jones, M. and Yamaleev, N. (2013). Adjoint-based shape and kinematics optimization of flapping wing propulsive efficiency San Diego, CA: Proc. 43rd AIAA Fluid Dynamics Conference.
- Martin, J. and Yamaleev, N. (2012). Adjoint-based optimization of the flapping wing performance Big Island, HI: Proc. of the 7th Inter. Conf. on CFD (ICCFD).
- Jones, M. and Yamaleev, N. (2012). The effect of a gust on the flapping wing performance Nashville, TN: 50th AIAA Aerospace Sciences Meeting.
- Pathak, K. and Yamaleev, N. (2011). POD-based reduced-order model for arbitrary Mach number flows Proc. of 6th Theoretical Fluid Mechanics AIAA Conference.
- Diskin, B. and Yamaleev, N. (2011). Grid adaptation using adjoint-based error minimization Proc. 20th Computational Fluid Dynamics AIAA Conference.
- Yamaleev, N., Diskin, B. and Pathak, K. (2010). Adjoint-based methodology for anisotropic grid adaptation Proc. of the 6th Inter. Conf. on CFD (ICCFD).
- Fisher, T., Carpenter, M. and Yamaleev, N. (2010). Boundary closures for 4th-order Energy Stable WENO finite difference schemes Proc. of AIAA 40th Fluid Dynamics Conference.
- Yamaleev, N. and Carpenter, M. (2010). Energy stable WENO schemes of arbitrary order Proc. of the 6th Inter. Conf. on CFD (ICCFD).
- Yamaleev, N., Diskin, B. and Pathak, K. (2010). Error minimization via adjoint-based anisotropic grid adaptation Chicago, IL: Proc. of 40th AIAA Fluid Dynamics Conference.
- Nielsen, E., Diskin, B. and Yamaleev, N. (2009). Discrete adjoint-based design optimization of unsteady turbulent flows on dynamic unstructured grids Proc. 19th AIAA Computational Fluid Dynamics Conference.
- Yamaleev, N. and Carpenter, M. (2009). High-order energy stable WENO schemes 47th AIAA Aerospace Meeting.
- Yamaleev, N., Diskin, B. and Nielsen, E. (2009). Local-in-time adjoint-based method for design optimization of unsteady compressible flows 47th AIAA Aerospace Sciences Meeting and Exhibit.
- Yamaleev, N., Diskin, B. and Nielsen, E. (2008). Adjoint-based methodology for time-dependent optimization Proc. of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference.
- Yamaleev, N. and Carpenter, M. (2008). Third-order energy stable WENO scheme Proc. of the 14th AIAA/CEAS Aeroacoustics Conference.
- Yamaleev, N. and Mohan, R. (2005). A model for the two-phase flow through a dual-scale porous medium in liquid composite molding Proc. of 2007 ASME International Mechanical Engineering Congress and Exposition.
- Yamaleev, N. and Carpenter, M. (2005). A quasi-1-D model for arbitrary 3-D synthetic jet actuators Proc. of 43rd AIAA Aerospace Sciences Meeting and Exhibit.
- Yamaleev, N. and Mohan, R. (2004). A model for intra-tow flow behavior and void formation during resin infusion in liquid composite molding Proc. of 11th Annual International Conference on Composites/Nano Engineering (ICCE-11).
- Yamaleev, N. and Carpenter, M. (2004). A reduced-order model for zero-mass synthetic jet actuators Proc. of NASA LaRC Workshop on CFD Validation of Synthetic Jets and Turbulent Separation Control.
- Yamaleev, N. and Carpenter, M. (2003). Resonance characteristics of synthetic jet actuators Proc. of the Inter. Conference on Computational & Experimental Engineering & Sciences (ICCES).
- Yamaleev, N. (2003). A reduced order model of synthetic jet actuators Albuquerque, NM: 7th US National Congress on Computational Mechanics.
- Carpenter, M., Singer, B., Yamaleev, N., Vatsa, V. and Atkins, H. (2002). The current status of unsteady CFD approaches for aerodynamic flow control AIAA Paper 2002-3346.
- Yamaleev, N. and Carpenter, M. (2002). Moving mesh method for efficient simulation of synthetic jet actuators Toronto: IMACS Workshop on Adaptive Methods for PDE.
- Yamaleev, N. and Carpenter, M. (2001). Insight into the accuracy of adaptive grid methods for captured shocks Vancouver: Proc. of the Intern. Confer. on Scientific Computing and Differential Equations.

## Presentations

- Yamaleev, N. and Upperman, J. (July 11, 2022). Positivity-preserving Entropy Stable Spectral Collocation Schemes of Arbitrary Order of Accuracy for the 3-D. Navier-Stokes equations Oral Presentation International Conference on Computational Fluid Dynamics (ICCFD 11) Maui, HI, USA.
- Yamaleev, N. and Upperman, J. (July 12, 2021). High-order positivity-preserving entropy stable spectral collocation schemes for the Navier-Stokes equations Oral Presentation International Conference on Spectral and High-Order Methods (ICOSAHOM) Vienna, Austria.
- Yamaleev, N. (February , 2019). Oral Presentation SIAM Conference on Computational Science and Engineering (CSE19), Spokane, WA.
- Yamaleev, N. (July , 2018). Oral Presentation International Conference on Spectral and High-Order Methods (ICOSAHOM) London, UK.
- Yamaleev, N. (March , 2018). Lecture ERC CFD seminar Edwards, CA.
- Yamaleev, N. (December , 2017). Oral Presentation SIAM Conference on Analysis of Partial Differential Equations (PD17) Baltimore, MD.
- Yamaleev, N. (August , 2016). Oral Presentation Computational Methods in Applied Mathematics (CMAM-7) Jyväskylä, Finland.
- (March , 2016). Oral Presentation Richard F. Barry Jr. Seminar, Dept. Math. & Statistics .
- Yamaleev, N. (July , 2014). Oral Presentation International Conference on Spectral and High-Order Methods (ICOSAHOM) Salt Lake City, UT.
- Yamaleev, N. (May , 2014). Oral Presentation NASA CAS annual review meeting Greensboro, NC.
- Yamaleev, N. (June , 2013). Oral Presentation 43th AIAA Fluid Dynamics Conference San Diego, CA.
- Yamaleev, N. (June , 2013). Oral Presentation NIA CFD seminar Hampton, VA.
- Yamaleev, N. (March , 2013). Oral Presentation 36th SIAM-SEAS Conference Knoxville, TN.
- Yamaleev, N. (March , 2013). Oral Presentation NASA CAS annual review meeting Cleveland, OH.
- Yamaleev, N. (July , 2012). Oral Presentation 7th International Conference on CFD Island of Hawaii, HI.
- Yamaleev, N. (March , 2012). Oral Presentation ARL MAST CTA annual review meeting Joppa, MD.
- Yamaleev, N. (February , 2012). Oral Presentation NIA CFD seminar .
- Yamaleev, N. (January , 2012). Oral Presentation 50th AIAA Aerospace Sciences meeting Nashville, TN.

- 1999: National Research Council Senior Research Associateship Award, National Research Council
- 1997: Alexander von Humboldt Research Fellowship, Humboldt Foundation
- 1996: Swedish Royal Academy of Sciences Research Fellowship, Swedish Royal Academy of Sciences
- 1995: German Academic Exchange Service (DAAD) Research Fellowship, DAAD