Carpenter, Mark H., Gottlieb, David, Abarbanel, Saul, Don, Wai-Sun
The conventional method of imposing time dependent boundary conditions for Runge-Kutta (RK) time advancement reduces the formal accuracy of the space-time method to first order locally, and second...
Sally A. Viken, Veer N. Vatsa, Christopher L. Rumsey, Mark H. Carpenter
A concerted effort is underway at NASA Langley Research Center to create a benchmark for Computational Fluid Dynamic (CFD) codes, both unstructured and structured, against a data set for the hump...
Aiaa 2002-3346 The Current Status Of Unsteady Cfd Approaches For Aerodynamic (2002)
Mark H. Carpenter, Bart A. Singer, Nail Yamaleev, Veer N. Vatsa, Sally A. Viken, Harold L. Atkins
An overview of the current status of time dependent algorithms is presented. Special attention is given to algorithms used to predict #uid actuator #ows, as well as other active and passive#ow...
Aiaa 2002-3346 The Current Status Of Unsteady Cfd Approaches For Aerodynamic (2002)
Mark H. Carpenter, Bart A. Singer, Nail Yamaleev, Veer N. Vatsa, Sally A. Viken, Harold L. Atkins
An overview of the current status of time dependent algorithms is presented. Special attention is given to algorithms used to predict fluid actuator flows, as well as other active and passive flow...
Nail K. Yamaleev, Mark H. Carpenter
d papers from scientific and technical conferences, symposia, seminars, or other meetings sponsored or co-sponsored by NASA. . SPECIAL PUBLICATION. Scientific, technical, or historical information...
Opportunities for Breakthroughs in (2002)
Natalia Alex, Stephen J. Alter, Harold L. Atkins, Kim S. Bey, Karen L. Bibb, Robert T, ...
Opportunities for breakthroughs in the large-scale computational simulation and design of aerospace vehicles are presented. Computational fluid dynamics tools to be used within multidisciplinary...
Opportunities for Breakthroughs in (2002)
Natalia Alex, Stephen J. Alter, Harold L. Atkins, Kim S. Bey, Karen L. Bibb, Robert T, ...
Opportunities for breakthroughs in the large-scale computational simulation and design of aerospace vehicles are presented. Computational fluid dynamics tools to be used within multidisciplinary...
National Aeronautics and (2002)
Chi-wang Shu, Mark H. Carpenter, David Gottlieb
In this paper we discuss the issue of conservation and convergence to weak solutions of several global schemes, including the commonly used compact schemes and spectral collocation schemes, for...
Time Integration Schemes for the Unsteady Navier-Stokes Equations (2001)
Hester Bijl, Mark H. Carpenter, Veer N. Vatsa
The e#ciency and accuracy of several time integration schemes are investigated for the unsteady Navier-Stokes equations. This study focuses on the e#ciency of higher-order Runge-Kutta schemes in...
Jan Nordstrim, Mark H. Carpenter, Jan Nordstrom, H. Carpenter
Boundary and interface conditions are derived for high order finite difference methods applied to multidimensional linear problems in curvilinear coordinates. The boundary and interface conditions...
Mark H. Carpenter, Jan Nordstr, Om Mark, H. Carpenter
. Boundary and interface conditions for high order finite di#erence methods applied to the constant coe#cient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and...
A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy (1999)
David Gottlieb, Mark H. Carpenter, Jan Nordstr, Om David Gottlieb
. Stable and accurate interface conditions are derived for the linear advection-di#usion equation. The conditions are functionally independent of the spatial order of accuracy and rely only on the...
Carpenter, Mark H., Gottlieb, David, Abarbanel, Saul
The stability characteristics of various compact fourth- and sixth-order spatial operators are assessed using the theory of Gustafsson, Kreiss and Sundstrom (G-K-S) for the semi-discrete Initial...
Carpenter, Mark H., Gottlieb, David, Abarbanel, Saul
We present a systematic method for constructing boundary conditions (numerical and physical) of the required accuracy, for compact (Pade-like) high-order finite-difference schemes for hyperbolic...
Abarbanel, Saul, Gottlieb, David, Carpenter, Mark H.
It has been previously shown that the temporal integration of hyperbolic partial differential equations may, because of boundary conditions, lead to deterioration of accuracy of the solution. A...
Spectral Methods on Arbitrary Grids. (1998)
Carpenter, Mark H., Gottlieb, David
Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not...
Nordstrom, Jan, Carpenter, Mark H.
Boundary and interface conditions for high order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict...
Nordstroem, Jan, Carpenter, Mark H.
Boundary and interface conditions are derived for high order finite difference methods applied to multidimensional linear problems in curvilinear coordinates. The boundary and interface conditions...
Computational Considerations For The Simulation Of Shock-Induced Sound (1998)
The numerical study of aeroacoustic problems places stringent demands on the choice of a computational algorithm,because it requires the ability to propagate disturbances of small amplitude and short...
Computational Considerations For The Simulation Of Shock-Induced Sound (1996)
The numerical study of aeroacoustic problems places stringent demands on the choice of a computational algorithm,because it requires the ability to propagate disturbances of small amplitude and short...
Spectral Methods on Arbitrary Grids (1995)
Mark H. Carpenter, David Gottlieb
Stable and spectrally accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not...