CFD Tools

compressibleshocknormal shock

Normal Shock

Compute M2, pressure ratios, and total-pressure loss from upstream Mach number.

pipe flowpressure drophead lossDarcy-Weisbach

Darcy-Weisbach Pressure Drop

Compute pipe pressure drop, head loss, and hydraulic power from flow rate and roughness.

aerodynamicsliftdragcoefficient

Lift & Drag Coefficients

Compute CL, CD, and L/D from force, reference area, and dynamic pressure.

Reynoldstransitionpipe flow

Reynolds Number

Quickly classify the flow regime from the inertial-to-viscous ratio.

Machcompressiblespeed of sound

Mach Number

Assess compressibility effects from the ratio of flow speed to sound speed.

turbulenceboundary conditionOpenFOAMk-epsilon

Turbulence Intensity & k-epsilon BCs

Compute inlet k, epsilon, and omega from turbulence intensity.

y+ First Cell Height

Estimate first-cell center height and friction velocity for a target y+.

y+wall modelingmeshSST

CFL Condition

Check whether the current time step is stable for explicit integration.

CFLnumericsstability

compressibleCompressible Flow

compressibleisentropicnozzlePrandtl-Meyer

Isentropic Flow

Convert between Mach, p/p0, T/T0, A/A*, and Prandtl-Meyer angle.

compressiblenozzlearea-Machvisualization

Nozzle Area-Mach Visualizer

Visualize Mach distribution and exit isentropic state for a converging-diverging nozzle area ratio.

compressibleshocknormal shock

Normal Shock

Compute M2, pressure ratios, and total-pressure loss from upstream Mach number.

compressibleshocktheta-beta-M

Oblique Shock

Solve weak and strong branches from M1 and turning angle or shock angle.

compressibleshock polaroblique shocktheta-beta-M

Shock Polar Visualizer

Visualize the theta-beta-M curve, weak/strong oblique-shock solutions, and detachment limit from Mach and turn angle.

compressiblefannoduct flowfriction

Fanno Flow

Compute star-state relations for adiabatic duct flow with friction.

compressiblerayleighheat addition

Rayleigh Flow

Compute star-state relations for 1D flow with heat addition.

compressiblenozzlechoked flowmass flow

Choked Mass Flow

Compute choked nozzle mass flow rate and critical state at the throat.

standard atmospherefreestreamMachReynolds

Standard Atmosphere Freestream

Set freestream temperature, pressure, density, sound speed, Mach, and Reynolds number from altitude and speed.

air propertiesSutherlandviscosityideal gas

Sutherland Air Properties

Compute air viscosity, density, kinematic viscosity, and sound speed from temperature and pressure.

internal-flowInternal Flow & Losses

pipe flowfriction factorColebrookroughness

Colebrook-White Friction Factor

Iterate the Darcy friction factor from Reynolds number and relative roughness.

Moody chartpipe flowfriction factorroughness

Moody Chart Explorer

Plot Reynolds number and relative roughness on a Moody chart to read the friction-factor regime visually.

pipe flowpressure drophead lossDarcy-Weisbach

Darcy-Weisbach Pressure Drop

Compute pipe pressure drop, head loss, and hydraulic power from flow rate and roughness.

orificeflow ratemass flowpressure drop

Orifice Flow Rate

Compute Q and mass flow from pressure drop, density, discharge coefficient, and orifice diameter.

Valve Cv/Kv Flow

Compute liquid flow rate and Kv conversion from valve Cv, specific gravity, and pressure drop.

valveCvKvflow rate

hydraulic diameterduct flowReynolds

Hydraulic Diameter

Compute Dh and Re for non-circular ducts from flow area and wetted perimeter.

aerodynamicsAerodynamics & External Flow

aerodynamicsliftdragcoefficient

Lift & Drag Coefficients

Compute CL, CD, and L/D from force, reference area, and dynamic pressure.

drag polarliftinduced dragL/D

Drag Polar Explorer

Visualize a parabolic drag polar and current L/D operating point from parasite drag, aspect ratio, and Oswald efficiency.

pressure coefficientCpairfoilpost-processing

Pressure Coefficient Mapper

Compute Cp from local pressure, freestream pressure, and dynamic pressure while visualizing airfoil tap location and loading sign.

Strouhalvortex sheddingcylinder wake

Strouhal Vortex Shedding

Compute vortex-shedding frequency from Strouhal number, velocity, and length scale.

Strouhalvortex sheddingwakevisualization

Vortex Shedding Street

Show shedding frequency, period, and vortex spacing from Strouhal number with an animated cylinder wake.

dynamic pressurewind loadforce coefficient

Dynamic Pressure & Reference Force

Compute dynamic pressure and the force implied by reference area and coefficient.

thin airfoillift curveinduced dragvisualization

Thin-Airfoil Lift Curve

Visualize finite-wing lift curve, induced drag, and L/D from angle of attack, aspect ratio, and Oswald efficiency.

stall speedliftCLmaxvisualization

Stall Speed Estimator

Compute stall speed and approach margin from required lift, density, reference area, and CLmax with a speed tape.

skin frictionflat plateboundary layerdrag

Flat-Plate Skin-Friction Drag

Compute flat-plate Reynolds number, laminar/turbulent/mixed Cf, and skin-friction drag with a boundary-layer sketch.

wind tunnelsimilarityReynoldsMach

Wind-Tunnel Similarity Matcher

Compare Reynolds and Mach matching for a scaled model and compute the tunnel speed needed for Re similarity.

turbomachineryTurbomachinery & Rotating Flow

pumpaffinity lawsrotating machineryscaling

Pump Affinity Laws

Compare flow, head, and power scaling from speed and impeller-diameter changes with visual bars.

fan curvesystem curveduct flowoperating point

Fan-System Curve Matcher

Visualize the fan-curve and duct-system curve intersection to estimate operating flow and pressure rise.

compressor mapcorrected flowpressure ratioturbomachinery

Compressor Corrected Flow

Compute corrected mass flow, corrected speed, and compressor-map coordinates from inlet total conditions.

tip Machblade Reynoldsrotating framecompressibility

Blade Tip Mach & Reynolds

Compute blade-tip relative Mach number and chord Reynolds number from rpm, radius, axial speed, and properties.

porous-rheologyPorous Media & Rheology

Ergunpacked bedporous mediapressure drop

Ergun Packed-Bed Pressure Drop

Split Ergun viscous and inertial pressure-drop terms visually from particle size, porosity, and properties.

DarcyForchheimerporous zonemomentum source

Darcy-Forchheimer Porous Source

Compare Darcy viscous and Forchheimer inertial terms for CFD porous-zone momentum sinks.

non-Newtonianpower-law fluidrheologyviscosity

Power-Law Fluid Rheology

Plot shear stress, apparent viscosity, and generalized Reynolds number for a non-Newtonian power-law fluid.

Kozeny-Carmanpermeabilityporosityporous media

Kozeny-Carman Permeability

Estimate permeability and Darcy pressure drop from particle diameter, porosity, and sphericity with a pore tile sketch.

dimensionlessDimensionless Numbers

Reynoldstransitionpipe flow

Reynolds Number

Quickly classify the flow regime from the inertial-to-viscous ratio.

Machcompressiblespeed of sound

Mach Number

Assess compressibility effects from the ratio of flow speed to sound speed.

Prandtlheat transferconvection

Prandtl Number

Compare momentum diffusivity against thermal diffusivity.

Froudefree surfacegravity wave

Froude Number

Compare inertia against gravity to assess free-surface and gravity-wave dominance.

Peclet Number

Judge whether advection or diffusion dominates transport.

Pecletadvectiondiffusion

Schmidtspecies transportmass transfer

Schmidt Number

Compare momentum diffusivity against species diffusivity.

Knudsenrarefactionmicrofluidics

Knudsen Number

Assess continuum validity from mean free path to characteristic-length ratio.

ReynoldsMachregime mapvisualization

Re-Mach Flow Regime Map

Place Reynolds and Mach numbers on a 2D map to classify viscous and compressibility regimes.

turbulenceTurbulence & Wall Modeling

boundary layerflat platewall flow

Boundary Layer Thickness

Estimate laminar and turbulent boundary-layer thickness over a flat plate.

Kolmogorov Microscales

Compute the dissipative end scales of the turbulence cascade.

KolmogorovturbulenceDNS

turbulenceboundary conditionOpenFOAMk-epsilon

Turbulence Intensity & k-epsilon BCs

Compute inlet k, epsilon, and omega from turbulence intensity.

turbulenceinlet BCeddy scalek-omega

Turbulence Inlet Visualizer

Compute k, epsilon, and omega from turbulence intensity and length scale while visualizing inlet eddy size.

LESDNSSmagorinskyKolmogorov

LES Resolution Planner

Compare grid spacing, Kolmogorov scale, and Smagorinsky SGS viscosity to visualize LES/DNS feasibility.

StokesparticlemultiphaseLagrangian

Stokes Number

Compute the ratio of particle response time to flow time scale.

y+ First Cell Height

Estimate first-cell center height and friction velocity for a target y+.

y+wall modelingmeshSST

y+wall unitsmeshvisualization

y+ Wall-Layer Visualizer

Show whether a target y+ lands in the viscous sublayer, buffer layer, or log-law region with first-cell height.

meshboundary layerprism layery+

Boundary-Layer Prism Stack

Compute last-layer height and total prism thickness from first height, layers, and growth ratio.

heat-transferHeat Transfer

Nusseltconvectionheat transfer

Nusselt Number & h

Compute heat-transfer coefficient h from Nusselt-number correlations.

RayleighGrashofnatural convectionheat transfer

Natural Convection Regime

Visualize Grashof/Rayleigh numbers, natural-convection regime, and Nusselt estimate from temperature difference, length, and properties.

Nusseltpipe heat transferGnielinskiconvection

Pipe Heat-Transfer Designer

Compute internal-flow Nusselt number, h, and total heat rate with Dittus-Boelter/Gnielinski correlations and a pipe sketch.

flat platethermal boundary layerconvectiontransition

Flat-Plate Convection Map

Show average Nu, h, heat rate, and transition position for external flat-plate flow with a thermal boundary-layer map.

fin efficiencyheat sinkconjugate heat transferthermal

Fin Efficiency Calculator

Compute fin efficiency, effectiveness, heat rate, and temperature decay from geometry, h, and k.

radiationconvectionheat balancethermal boundary condition

Radiation-Convection Heat Balance

Compare radiation and convection heat-rate contributions from surface temperature, surroundings, emissivity, and h.

transient heat transferlumped capacitancecoolingBiot

Lumped Cooling Transient

Compute time constant, current temperature, and cooling curve from thermal capacitance and hA for transient checks.

Lewiscombustionmass transfer

Lewis Number

Compare thermal diffusivity against mass diffusivity.

Biotlumped capacitanceconduction

Biot Number

Compare internal conduction resistance against external convection resistance.

Fouriertransient conductionheat equation

Fourier Number

Compute the time-to-diffusion scale ratio in transient heat conduction.

reacting-flowCombustion & Reacting Flow

DamkohlerKarlovitzcombustionpremixed flame

Damkohler-Karlovitz Combustion Map

Visualize premixed flame regime from turbulent, chemical, and Kolmogorov time scales.

equivalence ratioAFRcombustionmixing

Equivalence Ratio Mixer

Compute actual AFR, phi, lambda, and heat-release rate from fuel and air mass flow.

Arrheniusreaction ratestiffnesschemistry

Arrhenius Rate Sensitivity

Plot reaction-rate change and stiffness risk from temperature and activation energy.

heat releaseadiabatic temperaturecombustionLHV

Heat-Release Temperature Rise

Visualize simple adiabatic temperature rise and heat-release rate from fuel LHV, mass flow, and cp.

multiphaseMultiphase Flow

Weberdroplet breakupsurface tension

Weber Number

Compare inertia against surface tension to assess breakup and deformation.

capillarysurface tensionmultiphase

Capillary Number

Compute the relative importance of viscous forces to surface tension.

Bondgravitysurface tension

Bond Number

Compare gravity against surface tension to assess shape control.

cavitationvapor pressurehydrodynamics

Cavitation Number

Measure how close the local pressure drop is to vapor-pressure onset.

cavitationvapor pressuremultiphasevisualization

Cavitation Risk Visualizer

Judge local pressure-drop and vapor-pressure margin using bubble visualization and cavitation number.

Ohnesorgedropletjet breakupsurface tension

Ohnesorge Number

Compute viscous damping relative to inertial-capillary effects, plus the Laplace number.

capillary lengthsurface tensiongravity

Capillary Length

Compute the interface length scale where surface tension and gravity balance.

particlesettlingdragmultiphase

Particle Settling Velocity

Estimate Stokes and drag-corrected terminal settling velocity for a single sphere.

open channelManningFroudeshallow water

Manning Open-Channel Flow

Compute open-channel flow rate, mean velocity, and Froude number from Manning n and slope.

droplet breakupWeberOhnesorgeatomization

Droplet Breakup Check

Classify likely droplet breakup behavior from Weber and Ohnesorge numbers.

two-phase flowLockhart-Martinellipressure dropvoid fraction

Two-Phase Pressure Drop

Estimate gas-liquid pipe pressure drop with a Lockhart-Martinelli multiplier and a visual phase split.

void fractionslip ratiotwo-phase flowmixture density

Void Fraction Slip Model

Compute gas void fraction and mixture density from quality, density ratio, and slip ratio.

bubble riseEotvosMortonterminal velocity

Bubble Rise Regime

Visualize bubble shape and rise speed from Eotvos/Morton numbers and a simple terminal-velocity estimate.

hydraulic jumpFroudeopen channelfree surface

Hydraulic Jump Visualizer

Show sequent depth, energy loss, and jump class for a rectangular-channel hydraulic jump from upstream Froude number.

numericsNumerics & Stability

CFL Condition

Check whether the current time step is stable for explicit integration.

CFLnumericsstability

time stepCFLFourierexplicit solver

Time-Step Budget Visualizer

Compare advective CFL, acoustic CFL, and diffusion Fourier limits to identify the active time-step bottleneck.

3D Courant Number

Compute directional Courant sum and allowable time step on anisotropic grids.

CourantCFLtime step3D

verificationGCIRichardson extrapolationmesh convergence

Grid Convergence Index

Compute observed order, Richardson extrapolation, and GCI from three-grid solutions.

unit conversionpressureflow rateviscosity

CFD Unit Converter

Convert common CFD units for pressure, velocity, volume flow rate, and dynamic viscosity.

memoryHPCmesh sizeparallel CFD

CFD Case Memory Estimator

Visualize total and per-partition memory budget from cell count, fields, matrix factor, and solver overhead.

residualconvergencesolvermonitoring

Residual Convergence Analyzer

Estimate orders dropped, average convergence rate, and remaining iterations from initial, current, and target residuals.

mass fluxcontinuityboundary conditioncase setup

Mass Flux Balance Visualizer

Check continuity imbalance from inlet/outlet density, velocity, area, and sources with a control-volume sketch.

under-relaxationSIMPLEsolver stabilityresidual

Under-Relaxation Planner

Visualize how relaxation factor changes correction size, damping speed, and overshoot risk in SIMPLE-like iterations.

mesh qualitynon-orthogonalityskewnesspre-processing

Mesh Quality Visualizer

Judge non-orthogonality, skewness, aspect ratio, and volume ratio with a cell sketch and solver-risk score.

diffusionstabilityheat equation

Diffusion Time-Step Limit

Compute stability limits and maximum time step for explicit diffusion updates.

cell Reynoldsdiscretizationboundedness

Cell Reynolds Number

Inspect advection-vs-viscosity balance at grid scale to judge discretization risk.

LBMBGKlattice Machstability

LBM BGK Stability Map

Compute BGK tau, omega, and lattice Mach from physical scaling and visualize the safe operating window.

TVDlimiterfinite volumeboundedness

TVD Limiter Visualizer

Compare minmod, van Leer, Superbee, and MC limiter curves to see numerical diffusion and sharpness.

Riemann solverHLLECFLcompressible numerics

Riemann Wave-Speed Estimator

Compute HLLE/Rusanov wave-speed envelope and explicit dt limit from left/right Euler states with a wave-fan sketch.

SORPoisson solverrelaxationlinear solver

SOR Relaxation Planner

Plot omega choice, approximate optimum, convergence factor, and iteration estimate for Poisson/SOR iterations.