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Purpose

To improve inviscid compressible flow solution.

Design/methodology/approach

A local element‐size calculation procedure in the streamline direction and a local variable smoothing approach are employed to improve inviscid compressible flow solution. The characteristic based split approach is used as basic solution procedure to demonstrate the employed improvements.

Findings

Results show that employing the element size in the streamline direction improves the solution accuracy in the transonic flow region. The nodal variable smoothing is very effective below a Mach number of 0.85 and produces results without any spatial oscillations.

Originality/value

This paper fills the gap by suggesting novel procedures to study Mach number range between zero and supersonic flow.

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