A practical high resolution upwind differencing scheme for the numerical solution of
convection-dominated transport problems is presented. The scheme is based on TVD and …

The wave propagation (spectral) properties of high-order Residual-Based Compact (RBC)
discretizations are analyzed to obtain information on the evolution of the Fourier modes …

In this work we review 12 years of developments in the field of residual based discretizations
and their application to the solution of the shallow water equations. Fundamental concepts …

Confined pulsating jets in simplified two-dimensional models of the larynx are considered to
study human phonation. The jets are generated by periodically oscillating inlet velocities in …

This work presents a family of bounded schemes constructed based on the concept of
Bézier curves that satisfies the TVD, CBC, and BAIR stability criteria for the numerical …

A residual-based (RB) scheme relies on the vanishing of residual at the steady-state to
design a transient first-order dissipation, which becomes high-order at steady-state. Initially …

The numerical dissipation operator of residual-based compact (RBC) schemes of high
accuracy is identified and analysed for hyperbolic systems of conservation laws. A …

Residual-Based Compact (RBC) schemes are reviewed and applied to realistic
compressible flow problems. The principle and advantages of high-order RBC schemes are …

A second-order residual-based compact scheme, initially developed for computing flows on
Cartesian and curvilinear grids, is extended to general unstructured grids in a finite-volume …

Residual-based compact schemes of second-and third-order accuracy are applied to a
challenging three-dimensional flow through a transonic compressor. The proposed schemes …