ADER schemes for hyperbolic conservation laws with reactive terms

In this paper we generalizew the semi-analytical method16 for solving the Derivative Riemann Problem to hyperbolic systems for which the Riemann problem solution is not available. As an application example we implement the new derivative Riemann solver in the high-order finite-volume ADER advection schemes. We provide numerical examples for two...

ADER scheme for the shallow water equations in channel with irregular bottom elevation

In this paper we develop one dimensional non-linear ADER schemes for the shallow water system with source terms. In contrast to conventional schemes we adopt a formulation given in terms of the free surface elevation and water discharge. Data reconstruction is performed using ENO polynomials both for the conservative variables and for the bottom...

High order Lax-Wendroff-type schemes for linear wave propagation

The second order accurate Lax-Wendroff scheme is based on the first three terms of a Taylor expansion in time in which the time derivatives are replaced by space derivatives using the governing evolution equations. The space derivatives are then approximated by central difference formulas. In this paper we extent this idea and truncate the...

Flight Dynamics Analytically-Derived Mathematical Model of Tiltrotor Aircraft: The development of an approachable tilt-rotor flight mechanics model, with clearly defined limitations, suitable for performance and piloted flight simulation

State-of-the-art tilt-rotor flight mechanics models appear to be inadequate in predicting the flight dynamics behavior across the entire flight envelope due to a lack of experimental data suggesting the need for more generic models. This paper presents a middle ground between model flexibility (genericity) and accuracy. For this purpose a...