Work

Numerical investigation to the full URE equations via predictor-corrector scheme

Year: 2025

Type: article

Abstract: We produce the modified Rusanov (mR) method for the full ultra-relativistic Euler (URE) model. This system describes the flow of an ideal fluid of pressure p , spatial part u ∈ R 3 of the dimensionless four-velocity and particle density n . The nonlinear system in question is purely hyperbolic. The mR method is formulated as predictor and corrector phases. The predictor is based on the parameter of control ( α i + 1 / 2 n ) , which is accountable for this scheme’s numerical diffusion. The balance conservation equation is reinstated by the corrector phase. Without utilizing Riemann problem solvers, the approach has the ability to compute the numerical flow that’s closest to the solution’s actually state. In the numerical simulation the results acquired via the mR method are compared with the Rusanov, the Lax-Friedrichs methods and reference solution with 10000 grid points calculated employing classical Rusanov. This numerical study confirms the effectiveness of the mR scheme. The mR technique can also be implemented to solve numerous other applied science models.

Source: Journal of low frequency noise, vibration and active control

DOI: 10.1177/14613484251325442

Authors: Hesham G Abdelwahed, Mahmoud AE Abdelrahman, Abdulrahman F Alsarhan, Kamel Mohamed

Institutions: Prince Sattam Bin Abdulaziz University, Mansoura University, Taibah University, New Valley University

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,500

Funder: Deanship of Scientific Research, Prince Sattam bin Abdulaziz University