Efficient fully discrete summation-by-parts schemes for unsteady flow problems
2016 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 56, no 3, 951-966 p.Article in journal (Refereed) Published
We make an initial investigation into the temporal efficiency of a fully discrete summation-by-parts approach for unsteady flows. As a model problem for the Navier–Stokes equations we consider a two-dimensional advection–diffusion problem with a boundary layer. The problem is discretized in space using finite difference approximations on summation-by-parts form together with weak boundary conditions, leading to optimal stability estimates. For the time integration part we consider various forms of high order summation-by-parts operators and compare with an existing popular fourth order diagonally implicit Runge–Kutta method. To solve the resulting fully discrete equation system, we employ a multi-grid scheme with dual time stepping.
Place, publisher, year, edition, pages
Springer, 2016. Vol. 56, no 3, 951-966 p.
Summation-by-parts in time – Unsteady flow calculations – Temporal efficiency
IdentifiersURN: urn:nbn:se:liu:diva-123917DOI: 10.1007/s10543-015-0599-0ISI: 000382137200007OAI: oai:DiVA.org:liu-123917DiVA: diva2:893775