Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
430141 | Journal of Computational Science | 2013 | 9 Pages |
Essentially non-oscillatory (ENO) methods and weighted essentially non-oscillatory (WENO) methods are of fundamental importance in the numerical solution of hyperbolic equations. A key property of such equations is that the solution must remain positive or lie between bounds. A modification of the polynomials used in ENO methods to ensure that the modified polynomials are either bounded by adjacent values (data-bounded) or lie within a specified range (range-bounded) is considered. It is shown that this approach helps both in the range boundedness in the preservation of extrema in the ENO polynomial solution.
► We look at ENO methods using data and range-bounded polynomials. ► We extend the data-bounded approach to cover extrema. ► We compare the method against another high-order polynomial limiter.