Stable High-Order Finite-Difference Interface Schemes with Application to the Richtmyer-Meshkov Instability

<p>High-order adaptive mesh refinement offers the potential for accurate and efficient resolution of problems in fluid dynamics and other fields where a wide range of length scales is present. A critical requirement for the interface closures used with these methods is stability in the context...

Full description

Bibliographic Details
Main Author: Kramer, Richard Michael Jack
Format: Others
Published: 2009
Online Access:https://thesis.library.caltech.edu/947/17/RMJKThesis.pdf
https://thesis.library.caltech.edu/947/16/RMJKThesis-printversion.pdf
https://thesis.library.caltech.edu/947/1/1DexpO4-Dr2.txt
https://thesis.library.caltech.edu/947/2/1DexpO4-Dr4.txt
https://thesis.library.caltech.edu/947/3/1DexpO6-Dr2.txt
https://thesis.library.caltech.edu/947/4/1DimpO4-Hr2.txt
https://thesis.library.caltech.edu/947/5/1DimpO4-Pr2.txt
https://thesis.library.caltech.edu/947/6/1DimpO4-Qr2.txt
https://thesis.library.caltech.edu/947/7/ConcaveCornerDx.txt
https://thesis.library.caltech.edu/947/8/ConcaveCornerDy.txt
https://thesis.library.caltech.edu/947/9/ConcaveCornerH.txt
https://thesis.library.caltech.edu/947/10/ConvexCornerDx.txt
https://thesis.library.caltech.edu/947/11/ConvexCornerDy.txt
https://thesis.library.caltech.edu/947/12/ConvexCornerH.txt
https://thesis.library.caltech.edu/947/13/EdgeDx.txt
https://thesis.library.caltech.edu/947/14/EdgeDy.txt
https://thesis.library.caltech.edu/947/15/EdgeH.txt
Kramer, Richard Michael Jack (2009) Stable High-Order Finite-Difference Interface Schemes with Application to the Richtmyer-Meshkov Instability. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HXGM-DC92. https://resolver.caltech.edu/CaltechETD:etd-03132009-095507 <https://resolver.caltech.edu/CaltechETD:etd-03132009-095507>