Complete Riemann Solvers for the Hyperbolic GPR Model of Continuum Mechanics

In this paper, complete Riemann solver of Osher-Solomon and the HLLEM Riemann solver for unified first order hyperbolic formulation of continuum mechanics, which describes both of fluid and solid dynamics, are presented. This is the first time that these types of Riemann solvers are applied to such a complex system of governing equations as the GPR model of continuum mechanics. The first order hyperbolic formulation of continuum mechanics recently proposed by Godunov S. K., Peshkov I. M. and Romenski E. I., further denoted as GPR model includes a hyperbolic formulation of heat conduction and an overdetermined system of PDE. Path-conservative schemes are essential in order to give a sense to the non-conservative terms in the weak solution framework since governing PDE system contains non-conservative products, too. New Riemann solvers are implemented and tested successfully, which means it certainly acts better than standard local Lax-Friedrichs-type or Rusanov-type Riemann solvers. Two simple computational examples are presented, but the obtained computational results clearly show that the complete Riemann solvers are less dissipative than the simple Rusanov method that was employed in previous work on the GPR model.

Energy Aware Relay GAF algorithm for WSN using Improved Conservative schemes

Wireless sensor systems (WSN) is the system of Sensor Nodes (SNs) in which every hub have detecting, correspondence and calculation office. The fundamental impediment of WSN is that SNs have restricted vitality. So the fundamental focal point of research in WSN is to improve the Network Lifetime by falling vitality utilization. A few areas mindful directing convention has been proposed. Geographic Adaptive Fidelity (GAF) is one of the most famous vitality mindful steering conventions. It moderates vitality by recognizing equality between sensors from a steering point of view and after that killing superfluous sensors, while keeping up the availability of the system. Anyway conventional GAF can't achieve the ideal vitality use. It requires progressively number of jumps to transmit information from source to sink.so that it prompts higher bundle delay. The underlying issue of essential GAF is information can be sent in just flat and vertical. The issues which are being worked in this undertaking are minimization of jump check, parcel deferral and separation secured by the bundle postponement steering utilizing vitality mindful Relay GAF calculation Both the conventions are actualized in MATLAB. Investigation and reproduction results show critical enhancements of the projected work contrasting with customary GAF in the part of absolute jump check, arrange lifetime vitality utilization, all out separation secured by the information bundle before achieving the sink, and parcel delay

On 16th and 32th Order Multioperators-Based Schemes for Smooth and Discontinuous Fluid Dynamics Solutions

The paper presents a novel family of arbitrary high order multioperators approximations for convection, convection-diffusion or the fluid dynamics equations. As particular cases, the 16th- and 32th-order skew-symmetric multioperators for derivatives supplied by the 15th- and 31th-order dissipation multioperators are described. Their spectral properties and the comparative efficiency of the related schemes in the case of smooth solutions are outlined. The ability of the constructed conservative schemes to deal with discontinuous solutions is investigated. Several types of nonlinear hybrid schemes are suggested and tested against benchmark problems.