public void BasicRectangularFlowTest()
{
CanalStretch canal = new CanalStretch("stretch1", 602, 20.32, new RectangularSection(5, 0.028, 0));
double rh = canal.CanalSection.GetHydraulicRadius(2.9);
double mv = canal.CanalSection.GetManningVelocity(2.9);
double fr2 = Math.Pow(canal.GetFroudeNumber(2.9), 2.0);
double criticalDepth = canal.CanalSection.GetCriticalWaterLevel(20.32);
double criticalSlope = canal.CanalSection.GetCriticalSlope(20.32);
double flow = canal.CanalSection.GetManningFlow(canal.CanalSection.GetCriticalWaterLevel(20.32));
double normalDepth = canal.CanalSection.GetNormalWaterLevel(20.32);
RungeKutta solver = new RungeKutta(1, canal.FlowEquation());
// Act
double result = solver.Solve(0, 2.9);
double actualRh = (5.0 * 2.9) / (5.0 + 2.0 * 2.9);
Assert.IsTrue(rh - actualRh <= double.Epsilon);
Assert.IsTrue(mv - 0 <= double.Epsilon);
Assert.IsTrue(fr2 - 0.0690 <= 0.0001);
Assert.IsTrue(result - 2.89888 <= 0.00001);
Assert.IsTrue(criticalSlope > 0);
Assert.IsTrue(Math.Abs(flow - 0) < Double.Epsilon);
Assert.IsTrue(Math.Abs(criticalDepth - 1.1897678822813287) <= double.Epsilon);
}
public void BasicRectangularFlowTest2()
{
CanalStretch canal = new CanalStretch("stretch1", 602, 2.5486, new RectangularSection(4, 0.014, 0.0004));
double rh = canal.CanalSection.GetHydraulicRadius(0.694);
double mv = canal.CanalSection.GetManningVelocity(0.694);
double fr2 = Math.Pow(canal.GetFroudeNumber(0.694), 2.0);
double flow = canal.CanalSection.GetManningFlow(0.694);
double criticalDepth = canal.CanalSection.GetCriticalWaterLevel(flow);
double criticalSlope = canal.CanalSection.GetCriticalSlope(flow);
double normalDepth = canal.CanalSection.GetNormalWaterLevel(flow);
RungeKutta solver = new RungeKutta(1, canal.FlowEquation());
// Act
double result = solver.Solve(0, 0.694);
double actualRh = (4.0 * 0.694) / (4.0 + 2.0 * 0.694);
Assert.IsTrue(rh - actualRh <= double.Epsilon);
Assert.IsTrue(mv - 0.91811 <= 0.0001);
Assert.IsTrue(fr2 - 1.90669 <= 0.0001);
Assert.IsTrue(result - 0.694 <= 0.00001);
Assert.IsTrue(criticalSlope > 0.0004);
Assert.IsTrue(normalDepth > criticalDepth);
Assert.IsTrue(Math.Abs(criticalDepth - 0.34593708152888353) <= double.Epsilon);
}
public void BasicTest()
{
// Arrange
Func <double, double, double> differentialEquation = (x, y) => x - y;
RungeKutta solver = new RungeKutta(0.2, differentialEquation);
// Act
double result = solver.Solve(1, 2);
// Assert
double error = result - 0.2 - 2 * Math.Pow(Math.E, -0.2);
// Error should be very small
Assert.IsTrue(error < 0.00001);
}
public Dictionary <DataPoint, DataPoint> GetPoints()
{
return(rungeKutta.Solve());
}
/// <summary>
/// Executes the canal simulation
/// </summary>
/// <returns></returns>
public CanalSimulationResult ExecuteCanalSimulation()
{
var result = new CanalSimulationResult();
RungeKutta solver = new RungeKutta();
double flow = CanalStretches.Where(cs => cs.Flow > 0).Select(cs => cs.Flow).FirstOrDefault();
if (!(flow > 0))
{
flow = CanelEdges.OfType <SluiceCanalEdge>().Select(sce => sce.GetFreeFlow).FirstOrDefault();
}
CanalStretches.ForEach(cs => cs.Flow = flow);
foreach (ICanalStretchModel canalStretch in CanalStretches)
{
CanalStretchResult canalStretchResult = result.GetCanalStretchResult(canalStretch.Id);
canalStretchResult.CriticalSlope = canalStretch.CanalSection.GetCriticalSlope(canalStretch.Flow);
canalStretchResult.CriticalWaterLevel = canalStretch.CanalSection.GetCriticalWaterLevel(canalStretch.Flow);
canalStretchResult.NormalWaterLevel = canalStretch.CanalSection.GetNormalWaterLevel(canalStretch.Flow);
ICanalStretchModel preCanalStretch = CanalStretches.FirstOrDefault(cs => cs.ToNode.Id == canalStretch.FromNode.Id);
ICanalStretchModel postCanalStretch = CanalStretches.FirstOrDefault(cs => cs.FromNode.Id == canalStretch.ToNode.Id);
bool postCriticalSection = false;
if (preCanalStretch != null)
{
}
if (postCanalStretch != null)
{
double normalWaterLevel = postCanalStretch.CanalSection.GetNormalWaterLevel(postCanalStretch.Flow);
postCriticalSection = normalWaterLevel <= canalStretchResult.CriticalWaterLevel;
}
AnalysisOptions options = new AnalysisOptions();
options.AnalysisSteps = (int)(canalStretch.Length > 10000
? 10000
: canalStretch.Length);
// M flow
if (canalStretch.CanalSection.Slope > 0 && canalStretch.CanalSection.Slope < canalStretchResult.CriticalSlope)
{
// M1
// Regimen lento se impone aguas abajo
if (canalStretch.ToNode.WaterLevel.HasValue && canalStretch.ToNode.WaterLevel.Value > canalStretchResult.CriticalWaterLevel)
{
options.InitialX = GetAbsoluteInitialLength(CanalStretches, canalStretch) + canalStretch.Length;
options.FinalWaterLevel = canalStretch.ToNode.WaterLevel.Value;
options.BackwardsAnalysis = true;
options.ExecuteAnalysis = true;
}
// M2 Flow
// Regimen lento se impone aguas abajo
else if (postCriticalSection)
{
canalStretch.ToNode.WaterLevel = canalStretchResult.CriticalWaterLevel;
options.InitialX = GetAbsoluteInitialLength(CanalStretches, canalStretch) + canalStretch.Length;
options.FinalWaterLevel = canalStretchResult.CriticalWaterLevel + Sensibility /* Salvando numéricamente por la izquierda el problema */;
options.BackwardsAnalysis = true;
options.ExecuteAnalysis = true;
}
// M3 Flow
// Regimen rapido se impone aguas arriba
if (canalStretch.FromNode.WaterLevel.HasValue && canalStretch.FromNode.WaterLevel.Value < canalStretchResult.CriticalWaterLevel)
{
// Hydraulic jump will occur as we have in the same stretch both conditions for both flows
options.HydraulicJumpOccurs = options.ExecuteAnalysis;
options.InitialX = GetAbsoluteInitialLength(CanalStretches, canalStretch) + 0.0;
options.InitialWaterLevel = canalStretch.FromNode.WaterLevel.Value;
options.BackwardsAnalysis = false;
options.ExecuteAnalysis = true;
}
}
// S flow
else if (canalStretch.CanalSection.Slope > canalStretchResult.CriticalSlope)
{
// S1 Flow
// Regimen lento se impone aguas abajo
if (canalStretch.ToNode.WaterLevel.HasValue && canalStretch.ToNode.WaterLevel.Value > canalStretchResult.CriticalWaterLevel)
{
throw new NotImplementedException();
}
// S2 flow
// Regimen rapido se impone aguas arriba
// TODO el simbolo <= debe ser mejorado
else if (canalStretch.FromNode.WaterLevel.HasValue && canalStretch.FromNode.WaterLevel.Value <= canalStretchResult.CriticalWaterLevel && canalStretch.FromNode.WaterLevel.Value > canalStretchResult.NormalWaterLevel)
{
options.InitialX = GetAbsoluteInitialLength(CanalStretches, canalStretch) + 0.0;
options.InitialWaterLevel = canalStretch.FromNode.WaterLevel.Value - Sensibility /* Salvando numéricamente por la derecha el problema */;
options.BackwardsAnalysis = false;
options.ExecuteAnalysis = true;
}
}
// H flow
else
{
if (canalStretch.FromNode.WaterLevel.HasValue)
{
options.InitialX = GetAbsoluteInitialLength(CanalStretches, canalStretch) + 0.0;
options.InitialWaterLevel = canalStretch.FromNode.WaterLevel.Value;
options.BackwardsAnalysis = false;
options.ExecuteAnalysis = true;
}
}
if (options.ExecuteAnalysis)
{
double x = options.InitialX;
double waterLevel = options.BackwardsAnalysis ? options.FinalWaterLevel : options.InitialWaterLevel;
int steps = options.AnalysisSteps;
solver.Interval = canalStretch.Length / steps;
solver.Equation = canalStretch.FlowEquation();
if (options.HydraulicJumpOccurs && canalStretch.FromNode.WaterLevel.HasValue && canalStretch.ToNode.WaterLevel.HasValue)
{
List <CanalPointResult> backwardsAnalysisResult = new List <CanalPointResult>();
List <CanalPointResult> conjugateWaterLevelResult = new List <CanalPointResult>();
List <CanalPointResult> frontAnalysisResult = new List <CanalPointResult>();
double x2 = options.InitialX + canalStretch.Length;
waterLevel = options.FinalWaterLevel;
for (int i = 1; i <= steps; i++)
{
waterLevel = solver.SolveBackwards(x2, waterLevel);
x2 = x2 - solver.Interval;
backwardsAnalysisResult.Add(new CanalPointResult(x2, waterLevel));
}
waterLevel = options.InitialWaterLevel;
while (waterLevel < canalStretchResult.CriticalWaterLevel - Sensibility)
{
waterLevel = solver.Solve(x, waterLevel);
x = x + solver.Interval;
conjugateWaterLevelResult.Add(new CanalPointResult(x, canalStretch.GetHydraulicJumpDownstreamDepth(waterLevel)));
frontAnalysisResult.Add(new CanalPointResult(x, waterLevel));
}
Func <double, double> conjugatedEquation = GetHydraulicJumpEquation(backwardsAnalysisResult, conjugateWaterLevelResult);
BisectionMethod findHydraulicJump = new BisectionMethod(conjugatedEquation, options.InitialX + Sensibility, conjugateWaterLevelResult.OrderByDescending(wl => wl.X).First().X);
double hydraulicJumpX = findHydraulicJump.Solve(0.01);
// Found result, otherwise it could be "desagüe anegado"
if (hydraulicJumpX < double.MaxValue)
{
result.AddCanalPointResult(canalStretch.Id, options.InitialX, options.InitialWaterLevel);
result.AddRangeCanalPointResult(canalStretch.Id, frontAnalysisResult.Where(ar => ar.X < hydraulicJumpX).ToList());
result.AddRangeCanalPointResult(canalStretch.Id, backwardsAnalysisResult.Where(ar => ar.X >= hydraulicJumpX).ToList());
}
}
else if (options.BackwardsAnalysis)
{
result.AddCanalPointResult(canalStretch.Id, x, waterLevel);
for (int i = 1; i <= steps; i++)
{
waterLevel = solver.SolveBackwards(x, waterLevel);
x = x - solver.Interval;
result.AddCanalPointResult(canalStretch.Id, x, waterLevel);
}
canalStretch.FromNode.WaterLevel = waterLevel;
}
else
{
result.AddCanalPointResult(canalStretch.Id, x, waterLevel);
// Regimen lento se impone aguas abajo
// Regimen rapido se impone aguas arriba
for (int i = 1; i <= steps; i++)
{
waterLevel = solver.Solve(x, waterLevel);
x = x + solver.Interval;
result.AddCanalPointResult(canalStretch.Id, x, waterLevel);
}
canalStretch.ToNode.WaterLevel = waterLevel;
}
}
}
return(result);
}