Schneider, F.F.SchneiderAlldredge, G.G.AlldredgeFrank, M.M.FrankKlar, A.A.Klar2022-03-052022-03-052014https://publica.fraunhofer.de/handle/publica/24797810.1137/1309342102-s2.0-84907481858We study mixed-moment models (full zeroth moment, half higher moments) for a Fokker-Planck equation in one space dimension. Mixed-moment minimum-entropy models are known to overcome the zero net-flux problem of full-moment minimum-entropy Mn models. A realizability theory for these mixed moments of arbitrary order is derived, as well as a new closure, which we refer to as Kershaw closure. They provide nonnegative distribution functions combined with an analytical closure. Numerical tests are performed with standard first-order finite volume schemes and compared with a finite difference Fokker-Planck scheme.en519Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimensionjournal article