Dynamics of Collapsing Bubbles Near Walls

Andreae, Sigrid; Ballmann, J.; Müller, Siegfried; Voß, Alexander

doi:10.1007/978-3-642-55711-8_23

Cited by 4 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the stiffened gas mixture, the conservative variables are v = (ρ, ρu, ρε + ρ u 2 2 , ρα, ρy) T , the flux is f (v) = (ρu, ρu 2 + p, (ρε + ρ u 2 2 + p)u, ραu, ρyu) T . The pressure law is given by (40-45).…”

Section: A Simple Finite Volume Scheme For the Simulation Of Cavitatimentioning

confidence: 99%

See 1 more Smart Citation

Finite volume simulation of cavitating flows

Barberon¹,

Helluy²

2005

Computers & Fluids

110

View full text Add to dashboard Cite

We propose a numerical method adapted to the modelling of phase transitions in compressible fluid flows. Pressure laws taking into account phase transitions are complex and lead to difficulties such as the non-uniqueness of entropy solutions. In order to avoid these difficulties, we propose a projection finite volume scheme. This scheme is based on a Riemann solver with a simpler pressure law and an entropy maximization procedure that enables us to recover the original complex pressure law. Several numerical experiments are presented that validate this approach.

show abstract

Section: A Simple Finite Volume Scheme For the Simulation Of Cavitatimentioning

confidence: 99%

“…Some methods rely on approximate Riemann solvers [13], [18], [2]. These methods must be carefully employed because even if the scheme is entropic it may converge towards wrong solutions due to the nonuniqueness of the solution.…”

Section: Introductionmentioning

confidence: 99%

Finite volume simulation of cavitating flows

Barberon¹,

Helluy²

2005

Computers & Fluids

110

View full text Add to dashboard Cite

show abstract

“…Bramkamp et al [13] used parametric meshes to map grid cells to splines enabling them to discretize the fluid surrounding an aerofoil. The scheme has also been implemented to model cavitation and shock-bubble interactions by Andreae et al [14]. Müller [15] presents an adaptive multiscale scheme in great detail and describes an implementation, reporting good performance.…”

Section: Introductionmentioning

confidence: 98%

Wavelet‐based adaptive grids as applied to hydrodynamics

Smith¹,

Zang²,

Taylor³

2007

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYAn adaptive, wavelet-based, multiscale finite-volume scheme is developed and employed to investigate applications in the simulation of water waves. Firstly, two one-dimensional, strictly hyperbolic cases are investigated: shallow water and Euler equations. These are followed by two investigations using a finitevolume formulation of Madsen and Sørensen's Boussinesq equations. Converged results were obtained in all cases, which demonstrate that the adaptive grid scheme is significantly faster than that on a uniform grid. In some cases, one-seventh of the number of cells is required to obtain the same accuracy as that of the uniform grid. Issues of stability are discussed in the context of the particular problems modelled here with the Boussinesq equations, related to discretization of the high-order spatial derivatives on a non-uniform grid.

show abstract

Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping

Müller

Stiriba

2006

J Sci Comput

View full text Add to dashboard Cite

Dynamics of Collapsing Bubbles Near Walls

Cited by 4 publications

References 6 publications

Finite volume simulation of cavitating flows

Finite volume simulation of cavitating flows

Wavelet‐based adaptive grids as applied to hydrodynamics

Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping

Contact Info

Product

Resources

About