Investigation of smoothness-increasing accuracy-conserving filters for improving streamline integration through discontinuous fields.
Streamline integration of fields produced by computational fluid mechanics simulations is a commonly used tool for the investigation and analysis of fluid flow phenomena. Integration is often accomplished through the application of ordinary differential equation (ODE) integrators--integrators whose error characteristics are predicated on the smoothness of the field through which the streamline is being integrated--smoothness which is not available at the inter-element level of finite volume and finite element data. Adaptive error control techniques are often used to ameliorate the challenge posed by inter-element discontinuities. As the root of the difficulties is the discontinuous nature of the data, we present a complementary approach of applying smoothness-enhancing accuracy-conserving filters to the data prior to streamline integration. We investigate whether such an approach applied to uniform quadrilateral discontinuous Galerkin (high-order finite volume) data can be used to augment current adaptive error control approaches. We discuss and demonstrate through numerical example the computational trade-offs exhibited when one applies such a strategy.
Steffen
Michael
M
School of Computing and the Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT 84112, USA. msteffen@cs.utah.edu
Curtis
Sean
S
Kirby
Robert M
RM
Ryan
Jennifer K
JK
D000465:Algorithms; D003196:Computer Graphics; D003198:Computer Simulation; D020342:Finite Element Analysis; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D012212:Rheology / Q000379:methods*; D012815:Signal Processing, Computer-Assisted; D018511:Systems Integration