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0mesh continuity at block interfaces, accommodates arbitrary block topologies, and has low interblock-communication overhead. The resulting discrete equations are solved iteratively using an… (More)

- Francisco Palacios, Juan J. Alonso, +9 authors Thomas C. Taylor
- 2013

This paper describes the history, objectives, structure, and current capabilities of the Stanford University Unstructured (SU 2 ) tool suite. This computational analysis and design software… (More)

An efficient gradient-based algorithm for aerodynamic shape optimization is presented. The algorithm consists of several components, including a novel integrated geometry parameterization and mesh… (More)

- Jason E. Hicken, David W. Zingg
- J. Computational Applied Mathematics
- 2013

Summation-by-parts (SBP) operators are finite-difference operators that mimic integration by parts. The SBP operator definition includes a weight matrix that is used formally for discrete… (More)

The induced drag of several nonplanar configurations is minimized using an aerodynamic shape optimization algorithm based on the Euler equations. The algorithm is first validated using twist… (More)

- Jason E. Hicken, David W. Zingg
- SIAM J. Scientific Computing
- 2011

Diagonal-norm summation-by-parts (SBP) operators can be used to construct time-stable high-order accurate finite-difference schemes. However, to achieve both stability and accuracy, these operators… (More)

- Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg, Mark H. Carpenter
- J. Comput. Physics
- 2018

Abstract We present and analyze an entropy-stable semi-discretization of the Euler equations based on high-order summation-by-parts (SBP) operators. In particular, we consider general… (More)

- Jason E. Hicken
- 2009

EFFICIENT ALGORITHMS FOR FUTURE AIRCRAFT DESIGN : CONTRIBUTIONS TO AERODYNAMIC SHAPE OPTIMIZATION Jason Edward Hicken Doctor of Philosophy Graduate Department of Aerospace Science and Engineering… (More)

Abstract Summation-by-parts (SBP) operators have a number of properties that make them an attractive option for higher-order spatial discretizations of partial differential equations. In particular,… (More)

- Jason E. Hicken, David W. Zingg
- SIAM J. Scientific Computing
- 2010

There is a need for flexible iterative solvers that can solve large-scale ($>10^6$ unknowns) nonsymmetric sparse linear systems to a small tolerance. Among flexible solvers, flexible GMRES (FGMRES)… (More)