Shock wave instability and the carbuncle phenomenon: same intrinsic origin?

Robinet, Jean-Christophe; Gressier, Jérémie; Casalis, Grégoire; Moschetta, Jean‐Marc

doi:10.1017/s0022112000001129

Cited by 118 publications

(45 citation statements)

References 27 publications

(44 reference statements)

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“…Numerical instabilities rooted in the treatment of the Alfvén wave were already predicted by Miyoshi & Kusano (2008). They write that it is commonly known that highly accurate Riemann solvers for the Euler equations sometimes encounter multi-dimensional numerical instabilities at high mach numbers such as the "carbuncle" instability that may be related to the resolution of the contact wave (Robinet et al 2000). The reason for the "checkerboard" instability is based on the inconsistent EMF reconstruction of ACT for a plane-parallel flow as it is described in Sect.…”

Section: The Arithmetic Ct Plus Hlld and Roementioning

confidence: 99%

High-order Godunov schemes for global 3D MHD simulations of accretion disks

Flock¹,

Dzyurkevich²,

Klahr³

et al. 2010

A&A

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We assess the suitability of various numerical MHD algorithms for astrophysical accretion disk simulations with the PLUTO code. The well-studied linear growth of the magneto-rotational instability is used as the benchmark test for a comparison between the implementations within PLUTO and against the ZeusMP code. The results demonstrate the importance of using an upwind reconstruction of the electro-motive force (EMF) in the context of a constrained transport scheme, which is consistent with plane-parallel, grid-aligned flows. In contrast, constructing the EMF from the simple average of the Godunov fluxes leads to a numerical instability and the unphysical growth of the magnetic energy. We compare the results from 3D global calculations using different MHD methods against the analytical solution for the linear growth of the MRI, and discuss the effect of numerical dissipation. The comparison identifies a robust and accurate code configuration that is vital for realistic modeling of accretion disk processes.

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Section: The Arithmetic Ct Plus Hlld and Roementioning

confidence: 99%

High-order Godunov schemes for global 3D MHD simulations of accretion disks

Flock¹,

Dzyurkevich²,

Klahr³

et al. 2010

A&A

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“…When a capsule-like model with a counterflow jet is immersed in a supersonic free-stream, the resulting flowfield is rather "feature rich". The detached bow shock has to be captured well without causing the famous carbuncle phenomenon [15][16]. Interaction of the counterflow jet and the post-shock subsonic stream can lead to a strong unsteady shear layer, which may then feed into the afterbody separation region.…”

Section: Introductionmentioning

confidence: 99%

Effect of Counterflow Jet on a Supersonic Reentry Capsule

Chang

Venkatachari

Cheng

2006

42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference &Amp;amp; Exhibit

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“…If Liou's conjecture is true, it would imply that one could design a numerical flux function that does not show the carbuncle phenomenon and still maintains the exact resolution of the contact wave [Robinet et al 2000]. This conclusion is in contradiction with Robinet et al's (2000) linear stability analysis which shows that strict stability for Quirk's test and exact resolution of the contact waves are incompatible.…”

Section: Proposed Cures Using Riemann Solversmentioning

confidence: 97%

Effects-Based Operations at the Operational Level of War: Exploring the Living System Alternative

Dees¹

2008

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Department of Defense, Washington Headquarters Services, Directorate for Information SPONSORING/MONITORING AGENCY REPORT NUMBER(S) AFRL-RB-WP-TR-2008-3133 DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution unlimited. SUPPLEMENTARY NOTESPAO Case Number: WPAFB 08-3904; Clearance Date: 02 Jul 2008. Report contains color. ABSTRACTThis work is part of a project to more accurately model hypersonic flow. A number of issues in hypersonic flow are addressed. The first issue addressed is that of air properties at increased temperatures. Thermodynamic and transport properties of chemical equilibrium air are found for temperatures up to 30,000 K for a pressure range from 1x10 -4 to 100 atm. This work also covers adding equilibrium air chemistry to the computational fluid dynamics computer code known as AVUS. The second issue addressed is the carbuncle problem. A grid study is performed and recommendations as to what types of structured grids should be used to reduce the carbuncle problem are made. Grid aspect ratio and the alignment of the grid to the flow can be used to reduce the effects of the carbuncle phenomenon. Another mechanism causing the carbuncle phenomenon is the alignment of the grids with the shock. The third issue addressed is the domain of applicability of the perfect gas model, equilibrium air model, nonequilibrium air model, and thermo-chemical nonequilibrium air model. A computational study is carried out using AVUS to determine the regions of applicability of these air models for a blunt body at various velocities and altitudes.Full ABSTRACT (full)This work is part of a project to more accurately model hypersonic flow. A number of issues in hypersonic flow are addressed. The first issue addressed is that of air properties at increased temperatures. In particular the thermodynamic and transport properties of chemical equilibrium air are found for temperatures up to 30,000 K for a pressure range from 1x10 -4 to 100 atm. This work provides properties at slightly higher temperatures for the lower pressure region than can be found in the literature. This work also covers adding equilibrium air chemistry to the computational fluid dynamics computer code known as AVUS. The second issue addressed is commonly referred to as the carbuncle phenomenon. The carbuncle phenomenon is a numerical instability that affects the capturing of strong shocks when using a Riemann solver with low numerical dissipation. The carbuncle phenomenon manifests itself in the inability to compute uniform flow conditions downstream of a normal o...

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Shock wave instability and the carbuncle phenomenon: same intrinsic origin?

Cited by 118 publications

References 27 publications

High-order Godunov schemes for global 3D MHD simulations of accretion disks

High-order Godunov schemes for global 3D MHD simulations of accretion disks

Effect of Counterflow Jet on a Supersonic Reentry Capsule

Effects-Based Operations at the Operational Level of War: Exploring the Living System Alternative

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