Education

Research Description

Dr. Luo's long-term goal is to impact engineering and science through the development of innovative numerical methods and advanced computational techniques in the areas of computational fluid dynamics, computational aeroacoustics, and computational magnetohydrodynamics. Dr. Luo is currently developing 1) high-order spatial/temporal discretization methods based on reconstructed discontinuous Galerkin schemes for the next generation of CFD codes in aerospace and nuclear engineering, 2) a hybrid structured-unstructured grid methodology for the analysis of advanced propulsion systems, and 3) advanced unstructured grid methods in magnetohydrodynamics for the understanding and modeling of solar physics phenomena. In MAE, he collaborates with Dr. Edwards.

Honors and Awards

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Publications

A parallel, high-order direct discontinuous Galerkin methods for the Navier-Stokes equations on 3D hybrid grids

Cheng, J., Liu, X. D., Liu, T. G., & Luo, H. (2017), Communications in Computational Physics, 21(5), 1231-1257.

A comparative study of Rosenbrock-type and implicit Runge-Kutta time integration for discontinuous galerkin method for unsteady 3D compressible Navier-Stokes equations

Liu, X. D., Xia, Y. D., Luo, H., & Xuan, L. J. (2016), Communications in Computational Physics, 20(4), 1016-1044.

A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids

Cheng, J., Liu, T. G., & Luo, H. (2016), Computers & Fluids, 139, 68-79.

A reconstructed discontinuous Galerkin method for magnetohydrodynamics on arbitrary grids

Halashi, B. K., & Luo, H. (2016), Journal of Computational Physics, 326, 258-277.

A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids

Cheng, J., Yang, X. Q., Liu, X. D., Liu, T. G., & Luo, H. (2016), Journal of Computational Physics, 327, 484-502.

A hybrid reconstructed discontinuous Galerkin and continuous Galerkin finite element method for incompressible flows on unstructured grids

Pandare, A. K., & Luo, H. (2016), Journal of Computational Physics, 322, 491-510.

A hybrid incremental projection method for thermal-hydraulics applications

Christon, M. A., Bakosi, J., Nadiga, B. T., Berndt, M., Francois, M. M., Stagg, A. K., Xia, Y. D., & Luo, H. (2016), Journal of Computational Physics, 317, 382-404.

Assessment of a hybrid finite element and finite volume code for turbulent incompressible flows

Xia, Y. D., Wang, C. J., Luo, H., Christon, M., & Bakosi, J. (2016), Journal of Computational Physics, 307, 653-669.

Fully-implicit orthogonal reconstructed Discontinuous Galerkin method for fluid dynamics with phase change

Nourgaliev, R., Luo, H., Weston, B., Anderson, A., Schofield, S., Dunn, T., & Delplanque, J. R. (2016), Journal of Computational Physics, 305, 964-996.

A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier-Stokes equations

Xia, Y. D., Liu, X. D., Luo, H., & Nourgaliev, R. (2015), International Journal for Numerical Methods in Fluids, 79(8), 416-435.

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Grants

Hyperbolic Reconstructed-Discontinuous-Galerkin Method for High-Order Unsteady Viscous Simulations on Unstructured Grids

US Army - Army Research Office(5/01/16 - 12/31/16)

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Hyperbolic Reconstructed-Discontinuous-Galerkin Method for High-Order Unsteady Viscous Simulations on Unstructured Grids

Sponsor: US Army - Army Research Office

Start Date: 5/01/16

End Date: 12/31/16

Abstract

The objective of the proposed project is to develop a third- and higher-order unsteady viscous solver for 3D unstructured arbitrary grids by combining the FOHS method and the rDG method.

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High-Fidelity Numerical Simulation of Energy Recovery from Oil Shale

NCSU Research and Innovation Seed Funding Program(1/01/14 - 12/31/14)

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High-Fidelity Numerical Simulation of Energy Recovery from Oil Shale

Sponsor: NCSU Research and Innovation Seed Funding Program

Start Date: 1/01/14

End Date: 12/31/14

Abstract

The objective of the effort discussed in this project is to develop an innovative interdisciplinary program on high-fidelity simulation of energy recovery from oil shale and other unconventional energy resources using advanced computational fluid dynamics methodology. A primary focus of this project is to establish a research center that will provide our expertise and capability in numerical simulation and modeling to address some challenging problems in different INL (Idaho national laboratory)research project and eventually be funded by INL.

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High Performance Computing for NASA's Applications

National Aeronautics & Space Administration (NASA)(8/16/13 - 8/15/16)

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High Performance Computing for NASA's Applications

Sponsor: National Aeronautics & Space Administration (NASA)

Start Date: 8/16/13

End Date: 8/15/16

Abstract

Computational simulations are now playing an increasingly important role in science and engineering, which are routinely used by engineers and scientists for the development, design, analysis, and optimization of modern airplanes, high speed trains, advanced ships/submarines, high performance cars, new weapon systems, and nuclear reactors. High performance computing is essential to virtually all of NASA's major programs; it supports all phases of NASA activity from formulation of hypotheses to conceptual design to analysis to mission operations. In aeronautics, it is vital not only to NASA's own technology, but to NASA's mission of supporting and enhancing the competitiveness of the U.S. civil aircraft manufacturing industry. Although NASA has achieved a supercomputing capability of several billion FLOPS (floating points per second), even that tremendous capability will not be adequate for the computational demands of tomorrow, because complex future flight vehicles will be more difficult to simulate.

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Co-Design of Hardware / Software for Predicting MAV Aerodynamics

US Air Force - Office of Scientific Research (AFOSR)(9/01/12 - 10/31/15)

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Co-Design of Hardware / Software for Predicting MAV Aerodynamics

Sponsor: US Air Force - Office of Scientific Research (AFOSR)

Start Date: 9/01/12

End Date: 10/31/15

Abstract

This proposal provides subcontractor support to Virginia Tech for a proposal submitted under the Air Force's Basic Research Initiative. The proposal will focus on development of reconfigurable mapping strategies for porting multi-block structured and unstructured-mesh CFD codes to computing clusters containing CPU/GPU processing units.

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Development and Assessment of a Reconstructed Discontinuous Galerkin Method for Compressible Flows at All Speeds

US Dept. of Energy (DOE)(4/16/12 - 12/31/12)

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Development and Assessment of a Reconstructed Discontinuous Galerkin Method for Compressible Flows at All Speeds

Sponsor: US Dept. of Energy (DOE)

Start Date: 4/16/12

End Date: 12/31/12

Abstract

NCSU is pleased to offer the following statement of work in support of Idaho National Laboratory¡¯s effort on the development of a modern reactor safety code. The main objective of the research effort is to develop and assess a reconstructed discontinuous Galerkin method for compressible flows at all speeds. In reconstructed DG methods, termed RDG(PnPm), Pn indicates that a piecewise polynomial of degree of n is used to represent a DG solution, and Pm represents a reconstructed polynomial solution of degree of m (m¡Ýn) that is used to compute the fluxes. The RDG(PnPm) schemes are designed to enhance the accuracy of the discontinuous Galerkin method by increasing the order of the underlying polynomial solution. The beauty of the RDG(PnPm) schemes is that they provide a unified formulation for both finite volume and DG methods, and contain both classical finite volume and standard DG methods as two special cases of RDG(PnPm) schemes, and thus allow for a direct efficiency comparison. When n=0, i.e. a piecewise constant polynomial is used to represent a numerical solution, RDG(P0Pm) is nothing but classical high order finite volume schemes, where a polynomial solution of degree m (m ¡Ý1) is reconstructed from a piecewise constant solution. When m=n, the reconstruction reduces to the identity operator, and RDG(PnPn) scheme yields a standard DG method. Our lately developed Hermit WENO reconstruction-based discontinuous Galerkin method is designed not only to reduce the high computing costs for the DG methods, but also to avoid spurious oscillations in the vicinity of strong discontinuities, thus effectively overcoming the two shortcomings of the DG methods and ensuring the stability of the reconstructed DG method. In this work, the developed RDG method will be used to compute the compressible flows at all speeds. In particular, the ability of this RDG method for 1) low Mac number speed flows and 2) flows with stiffened equations of state will be assessed, tested, and validated.

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Consortium For Advanced Simulations of LWRs - Oak Ridge National Laboratory (ORNL)

US Dept. of Energy (DOE)(11/23/11 - 9/30/19)

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Consortium For Advanced Simulations of LWRs - Oak Ridge National Laboratory (ORNL)

Sponsor: US Dept. of Energy (DOE)

Start Date: 11/23/11

End Date: 9/30/19

Abstract

The Consortium for Advanced Simulation of Light Water Reactors, CASL, supports the broad national missions of enabling energy independence; supporting economic growth through the offering of superior technology ; and being good stewards of the environment, buy enabling predictive simulation of nuclear power plants. Such capability will make possible power uprates, lifetime extension and higher fuel burnups for currently operating and new Generation III+ nuclear power plants. This proposal is for work that ORNL will pay TN state takes on.

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Unstructured Grid CFD Component for a Modern Reactor Safety Code

US Dept. of Energy (DOE)(10/05/11 - 9/15/12)

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Unstructured Grid CFD Component for a Modern Reactor Safety Code

Sponsor: US Dept. of Energy (DOE)

Start Date: 10/05/11

End Date: 9/15/12

Abstract

The main objective of the research effort is to develop, verify, and validate an unstructured grid computational fluid dynamics (CFD) technology that will be used, implemented, incorporated as a component for a modern reactor safety analysis code currently under development in INL. The developed unstructured grid CFD methodology will be based on a newly developed Hermit WENO reconstruction-based discontinuous Galerkin formulation, where Taylor basis functions are used to represent approximate polynomial solutions on each element. The resulting reconstructed discontinuous Galerkin method can be effectively used not only to increase the accuracy of the underlying DG methods but also to avoid spurious oscillations in the vicinity of discontinuities.

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Development of a Reconstructed Discontinuous Galerkin Method for Computational Magneto-hydrodynamics on Arbitrary Grids

National Aeronautics & Space Administration (NASA)(3/01/11 - 2/28/12)

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Development of a Reconstructed Discontinuous Galerkin Method for Computational Magneto-hydrodynamics on Arbitrary Grids

Sponsor: National Aeronautics & Space Administration (NASA)

Start Date: 3/01/11

End Date: 2/28/12

Abstract

NCSU is pleased to offer the following statement of work in support of Drexel University's proposed effort for NASA LWS program. The objective of this research effort is to develop a reconstructed discontinuous Galerkin method for computational magnetohydrodynamics on arbitrary grids. A recently developed reconstructed discontinuous Galerkin method for computational fluid dynamics will be extended to solve magnetohydrodynamics equations. Significant improvements in both accuracy and efficiency can be achieved by replacing second-order finite volume methods with higher-order (>2nd) reconstructed discontinuous Galerkin methods for MHD. The developed MHD solver can be eventually integrated into the Adapt3D framework for the LWS program.

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Consortium for Advanced Simulations for Light Water Reactors (CASL) - Oak Ridge National laboratory

US Dept. of Energy (DOE)(11/30/-1 - 9/30/19)

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Consortium for Advanced Simulations for Light Water Reactors (CASL) - Oak Ridge National laboratory

Sponsor: US Dept. of Energy (DOE)

Start Date: 11/30/-1

End Date: 9/30/19

Abstract

The Consortium for Advanced Simulation of Light Water Reactors, CASL, supports the broad national missions of enabling energy independence; supporting economic growth through the offering of superior technology ; and being good stewards of the environment, buy enabling predictive simulation of nuclear power plants. Such capability will make possible power uprates, lifetime extension and higher fuel burnups for currently operating and new Generation III+ nuclear power plants.

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Quantification of Uncertainties in WMD Neutralization Predictions by High-Fidelity Models

Defense Threat Reduction Agency (DTRA)(10/11/10 - 10/10/13)

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Quantification of Uncertainties in WMD Neutralization Predictions by High-Fidelity Models

Sponsor: Defense Threat Reduction Agency (DTRA)

Start Date: 10/11/10

End Date: 10/10/13

Abstract

There has been a sequence of programs at the Defense Nuclear Agency and, later, at the Defense Threat Reduction Agency to develop weapons payloads with the capability of achieving denial of use of WMD production and storage facilities without incurring catastrophic collateral effects on military and civilian personnel by the release of WMD containing clouds from these structures. The requirement is challenging: for WMD bio materials such as spores, any released aerosol cloud must be virtually sterilized, with a tolerance of total live agent material measured in grams even though storage facilities might contain thousands of kilograms. For all proposed weapon payload concepts models are used to describe their performance with respect to neutralization of the released aerosol cloud. Insofar as only exceedingly small quantities of active agent release may be tolerated and insofar as small changes in the plethora of assumptions used to define the calculations it is not possible to a priori determine whether any of these small changes may amount to extremely large changes to the small predictions. The research outlined in this white paper addresses how the most rigorous characterization possible may be made of the impact of all input and model uncertainties on any desired model prediction. For any computational tool of government interest it is possible to identify or develop uncertainty distributions for those parameters conventionally treated as constants in the tool as determined by supportive data and expert opinion. The proposed research will include development of an appropriate methodology, its application to a selected performance modeling tool, and the demonstration of how uncertainties in predictions may be of use to the program manager as a tool to craft investment strategy and as a tool to assist the war planner, once adopted. The developed methodology and tools developed in this research will provide a structure for testing new algorithms, CFD models, and payload concepts as to their efficacy in achieving the desired neutralization with confidence.

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