Asset Details
Do you wish to reserve the book?
Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals
Do you wish to request the book?
Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Well-Balanced High Order 1D Schemes on Non-uniform Grids and Entropy Residuals
2016
Overview
This paper is concerned with the construction of high order schemes on irregular grids for balance laws, including a discussion of an a-posteriori error indicator based on the numerical entropy production. We also impose well-balancing on non uniform grids for the shallow water equations, which can be extended similarly to other balance laws, obtaining schemes up to fourth order of accuracy with very weak assumptions on the regularity of the grid. Our results show the expected convergence rates, the correct propagation of shocks across grid discontinuities and demonstrate the improved resolution achieved with a locally refined non-uniform grid. The schemes proposed in this work naturally can also be applied to systems of conservation laws. They may also be extended to higher space dimensions by means of dimensional splitting. The error indicator based on the numerical entropy production, previously introduced for the case of systems of conservation laws, is extended to balance laws. Its decay rate and its ability to identify discontinuities is illustrated on several tests.
Publisher
Springer US,Springer Nature B.V
We currently cannot retrieve any items related to this title. Kindly check back at a later time.