High-order, stable, and conservative boundary schemes for central and compact finite differences
نویسندگان
چکیده
منابع مشابه
High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations
In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...
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A procedure to switch 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 stable and accurate. Numerical experiments verify the theoretical accuracy for smooth solutions. In addition shock calculations is performed, using a scheme where the develope...
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ژورنال
عنوان ژورنال: Computers & Fluids
سال: 2019
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2018.12.010