A stable and conservative method for locally adapting the design order of finite difference schemes

作者：Eriksson Sofia; Abbas Qaisar; Nordstrom Jan^*

来源：Journal of Computational Physics, 2011, 230(11): 4216-4231.

DOI：10.1016/j.jcp.2010.11.020

• Finite difference methods
• High order accuracy
• Shock calculations
• Conservation
• Stability
• Summation-By-Parts

A procedure to locally change the order of accuracy of finite difference schemes is developed. The development is based on existing Summation-By-Parts operators and a weak interface treatment. The resulting scheme is proven to be accurate and stable.
Numerical experiments verify the theoretical accuracy for smooth solutions. In addition, shock calculations are performed, using a scheme where the developed switching procedure is combined with the MUSCL technique.

• 出版日期2011-5-20