An assessment of numerical solutions of the compressible Navier-Stokes equations

Shang, J. S.

doi:10.2514/3.45133

Cited by 46 publications

(6 citation statements)

References 206 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Meanwhile an approach for solving the approximate Riemann problem for strong shocks was systematically formulated by Roe (43) . Based on these newly gained numerical techniques and computing technology, applications were extended to include missile-like shapes, spinning pointed cones, blunt biconic configurations with and without flaps, and planetary-entry configurations (44)(45)(46)(47)(48) . Rapid progress also was made in simulating aerofoil and wing, wing-fuselage, afterbody, wake, propulsion system and combustion, and unsteady phenomena (44) .…”

Section: The 1970smentioning

confidence: 99%

“…Based on these newly gained numerical techniques and computing technology, applications were extended to include missile-like shapes, spinning pointed cones, blunt biconic configurations with and without flaps, and planetary-entry configurations (44)(45)(46)(47)(48) . Rapid progress also was made in simulating aerofoil and wing, wing-fuselage, afterbody, wake, propulsion system and combustion, and unsteady phenomena (44) . Various simplifications of the Navier-Stokes equations were also developed, covering a wide range from the parabloised to the thin-layer approximation according to the problem simulated.…”

Section: The 1970smentioning

confidence: 99%

“…The progress toward simulating aerofoils and wings is particularly noticeable, especially for the complex unsteady aerofoil and two-dimensional leading and trailing edge of lifting surfaces, including flow separation (36,37,44,49) . However, there are only a few solutions of three-dimensional wings known during that time.…”

Section: The 1970smentioning

confidence: 99%

“…Combustion in rocket jet plumes and fuel injectors was successfully simulated by Markatos (56) and Drummond et al (57) . Novel solutions were obtained for an internal-combustion engine by Griffin et al (58) and a chemical laser system (44) . These research efforts revealed a were also accomplished for the flow structures of unsteady transonic aerofoils by L. Levey (36) and aileron buzzing by J. Steger et al (37) .…”

Section: The 1970smentioning

confidence: 99%

See 3 more Smart Citations

Computational fluid dynamics application to aerospace science

Shang

2009

Aeronaut. j.

Self Cite

View full text Add to dashboard Cite

critical stability criterion for finite-difference approximation and addressed the issue of resolving hydrodynamic shock as early as 1944 and his more accessible article in the literature was published six years later (2,3) . Under the similar war time security restriction, the spherical blast wave computation by G. I. Taylor was also delayed for public release until 1950 (4) . These pioneering works were performed to meet an urgent engineering need which set a pattern of science and technology development for practical applications.Harlow and his colleagues developed the particle in cell(PIC) method based on a combination Lagrangian-Eulerian description of the fluid motion (5) . The PIC method has showed how well suited it was to study time-dependent and multi-dimensional fluid motion. The effectiveness of this method is demonstrated through the applications to shock interaction, supersonic wakes, and hypersonic sharp leading-edge flows. This method is still in use today for Magneto-hydrodynamic research. At the same time, Hirt made a lasting contribution to turbulent transport properties simulation by highlighting the numerical challenges and providing guidance for future research (6) . All these accomplishments were accompanied by exhaustive proof in order to illustrate the validity of the approximations and the numerical accuracy. This rigorous process actually established the standards for all future CFD algorithm and numerical procedure research. The detailed derivation of formulations and extensive discussions on computational accuracy and limits of applicability became the accepted standard in CFD research. During that time, all valuable information was largely unknown to the aerospace science community. ABSTRACTA brief narration on significant accomplishments in computational fluid dynamics (CFD) for basic research and aerospace application is attempted to highlight the outstanding achievements by scientists and engineers of this discipline. To traverse such a vast domain, numerous and excellent contributions to CFD will be unintentionally overlooked by the author's limited exposure. Nevertheless it is an ardent hope that the present abridged literature review will aid to reaffirm excellence in research and to identify knowledge shortfalls both in aerodynamics and its modeling and simulation capability. The future modeling and simulation technology needs, as well as potential and fertile research areas, are humbly put forth for consideration.

show abstract

Section: The 1970smentioning

confidence: 99%

Section: The 1970smentioning

confidence: 99%

Section: The 1970smentioning

confidence: 99%

Section: The 1970smentioning

confidence: 99%

See 2 more Smart Citations

Computational fluid dynamics application to aerospace science

Shang

2009

Aeronaut. j.

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, only methods dealing with improving the effidency of the numerical flow simulation and techniques to treat complex geometries will be given attention here. Reviews of other related numerical methods for solving the Navier-Stokes equations can be found in Shang (1985) and Hoist (1987). An outlook for computational aerodynamics was given by Chapman (1979).…”

Section: Primitive Variablesmentioning

confidence: 99%

On computations of the integrated space shuttle flowfield using overset grids

Chiu

View full text Add to dashboard Cite

Analytical Foundation of Hypersonic Flow

Shang

2010

Encyclopedia of Aerospace Engineering

View full text Add to dashboard Cite

Classical hypersonic theories are summarized for both inviscid and viscous flows. Theoretical developments are derived in the continuum regime, with focus on the systematic approximations that have been developed from the characteristics of hypersonic flow. These theories describe some of the most important hypersonic flow observations with relatively simple analysis. However, the effects of internal degrees of freedom of molecules are not considered, and thus the detailed treatment of the phenomena of rarefied flow, real gas effects, and radiation are excluded here.

show abstract

An assessment of numerical solutions of the compressible Navier-Stokes equations

Cited by 46 publications

References 206 publications

Computational fluid dynamics application to aerospace science

Computational fluid dynamics application to aerospace science

On computations of the integrated space shuttle flowfield using overset grids

Analytical Foundation of Hypersonic Flow

Contact Info

Product

Resources

About