CFL condition
E413440
The CFL condition is a stability criterion in numerical analysis that restricts the time step size in relation to the spatial grid size and wave speeds when solving partial differential equations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| CFL condition canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4094270 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: CFL condition Context triple: [Courant–Friedrichs–Lewy condition, alsoKnownAs, CFL condition]
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A.
CFL
The CFL (Canadian Football League) is Canada's professional gridiron football league, featuring teams such as the Toronto Argonauts competing for the Grey Cup championship.
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B.
CUFLA
CUFLA is a student-run organization at Carleton University dedicated to promoting and organizing competitive and recreational ultimate frisbee activities.
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C.
CFC
CFC is the abbreviation commonly used for the Combined Forces Command, a joint military headquarters coordinating combined operations.
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D.
CFC
CFC is a leading Canadian institution dedicated to advancing the careers of filmmakers, screenwriters, and other media creators through professional training and development programs.
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E.
CFC
CFC is the commonly used abbreviation for the United States Court of Federal Claims, a federal court that hears monetary claims against the U.S. government.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: CFL condition Target entity description: The CFL condition is a stability criterion in numerical analysis that restricts the time step size in relation to the spatial grid size and wave speeds when solving partial differential equations.
-
A.
CFL
The CFL (Canadian Football League) is Canada's professional gridiron football league, featuring teams such as the Toronto Argonauts competing for the Grey Cup championship.
-
B.
CUFLA
CUFLA is a student-run organization at Carleton University dedicated to promoting and organizing competitive and recreational ultimate frisbee activities.
-
C.
CFC
CFC is the abbreviation commonly used for the Combined Forces Command, a joint military headquarters coordinating combined operations.
-
D.
CFC
CFC is a leading Canadian institution dedicated to advancing the careers of filmmakers, screenwriters, and other media creators through professional training and development programs.
-
E.
CFC
CFC is the commonly used abbreviation for the United States Court of Federal Claims, a federal court that hears monetary claims against the U.S. government.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
concept in numerical analysis
ⓘ
numerical stability criterion ⓘ |
| alsoKnownAs | Courant–Friedrichs–Lewy condition ⓘ |
| appliesPrimarilyTo | explicit schemes rather than implicit schemes ⓘ |
| appliesTo |
hyperbolic partial differential equations
ⓘ
partial differential equations ⓘ time-dependent PDEs ⓘ |
| category | stability condition in numerical methods ⓘ |
| consequenceOfViolation |
blow-up of numerical solution
ⓘ
numerical instability ⓘ spurious oscillations ⓘ |
| coreIdea | numerical domain of dependence must include the physical domain of dependence ⓘ |
| defines | upper bound on Courant number for stability ⓘ |
| dependsOn |
dimensionality of the problem
ⓘ
numerical scheme ⓘ spatial discretization ⓘ time integration method ⓘ |
| ensures | stability of explicit time integration schemes ⓘ |
| field |
computational fluid dynamics
ⓘ
computational physics ⓘ numerical analysis ⓘ |
| hasAbbreviation | CFL ⓘ |
| hasParameter |
grid spacing
ⓘ
maximum allowable time step ⓘ maximum signal speed in the system ⓘ |
| historicalPublication | Courant–Friedrichs–Lewy 1928 paper on PDEs and finite differences ⓘ |
| involvesQuantity |
Courant–Friedrichs–Lewy condition
ⓘ
surface form:
Courant number
|
| namedAfter |
Hans Lewy
ⓘ
Kurt Friedrichs NERFINISHED ⓘ Richard Courant ⓘ |
| relatedConcept |
Lax equivalence theorem
ⓘ
von Neumann stability analysis ⓘ
surface form:
Von Neumann stability analysis
time step restriction ⓘ |
| relates |
time step size to characteristic wave speed
ⓘ
time step size to spatial grid size ⓘ |
| restricts | time step size ⓘ |
| typicalForm | c · Δt / Δx ≤ C_max ⓘ |
| usedFor |
choosing appropriate time step in CFD codes
ⓘ
designing stable numerical simulations of wave propagation ⓘ ensuring convergence of explicit discretizations under refinement ⓘ |
| usedIn |
explicit time-stepping schemes
ⓘ
finite difference methods ⓘ finite element methods for time-dependent problems ⓘ finite volume methods ⓘ numerical solution of advection equations ⓘ numerical solution of wave equations ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: CFL condition Description of subject: The CFL condition is a stability criterion in numerical analysis that restricts the time step size in relation to the spatial grid size and wave speeds when solving partial differential equations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.