A new modified Engquist–Osher-type flux-splitting scheme is proposed to approximate the scalar conservation laws with discontinuous flux function in space. The fact that discontinuity of fluxes space results jump unknown may be reason why it difficult design a high-order solve this hyperbolic law. In order implement WENO reconstruction, we apply compensate for Together third-order TVD Runge–Kut...

Abstract Engquist et al. (1989) proposed non-linear TVD filters. When combined with a traditional higher-order finite difference scheme, these filters can simulate shock or high concentration gradient problems no spurious oscillations. Among the filter is algorithm 2.2. However, this flattens extrema that are not results of overshooting and consequency scheme reduces to low order accuracy local...

This paper investigates the performances of approximate Riemann solvers (ARSs) for hyperbolic traffic models from family generic second-order flow modeling. Three are selected, including HLL, HLLC, and Rusanov solvers, evaluated comprehensively against model by Zhang (2002) a variant phase-transition Colombo with continuous solution domain. The ARSs investigated using extensive numerical tests,...

Abstract. We describe the development of a block-structured, equal-CPU-load (central processing unit), multi-grid-nesting interface for Boussinesq wave model FUNWAVE-TVD (Fully Nonlinear Wave Model with Total Variation Diminishing Solver). The new framework does not interfere core solver, and thus program, FUNWAVE-TVD, is still standalone used single grid. nesting manages time sequencing two-wa...

The one–dimensional differential equations for the conservation mixture mass and mixture momentum coupled by a relative velocity conservation equation have been solved for an isentropic mixture of gas and liquid two–phase flow. Under certain restrictions the resulting system of partial differential equations is hyperbolic and allow discontinuous solutions. These equations have been solved by th...

Objectives: Detachment of the septal lea ̄et of the tricuspid valve from the annulus (TVD) has been used to improve visualization of ventricular septal defects (VSDs), but may be associated with increased operative time, heart block, and the development of tricuspid regurgitation (TR). Methods: Patients undergoing VSD closure between 1/1/96 and 31/12/99 were retrospectively reviewed. Follow-up w...

Measurement of digital blood pressure before and after local cooling was performed in 10 men with traumatic vasospastic disease (TVD), 10 men who worked with vibrating tools but had no symptoms in arms or hands, and 10 men who had never worked with vibrating tools. The reduction in finger systolic pressure was significantly larger in the group with TVD than in either of the reference groups (p ...

This contribution is devoted to the mathematical modelling of a compressible viscous fluid flow through a 2-D model of the male rotor-housing gap in screw machines. Numerical solution of the nonlinear conservative system of the compressible Navier-Stokes equations is obtained by means of the cell-centred finite volume formulation of the explicit two-step TVD MacCormack scheme proposed by Causon...