A system for forming an ingot from a melt, the system comprising two crucibles: a first crucible defining a cavity for receiving the melt; a second crucible in the cavity, the second crucible separating an outer zone from an inner zone, the second crucible including a passageway therethrough to allow the melt located within the outer zone to move into the inner zone, wherein the inner zone defines a growth area for the ingot; wherein the system does not comprise further crucibles in addition to the first and second crucible; the system further comprising: a barrier located within the outer zone to limit movement of the melt through the outer zone, the barrier including members that are randomly arranged to define a labyrinth for melt flow, wherein the members are free to move, and wherein the members are buoyant such that the solid feedstock material contacts the members prior to melting; provided that the system does not comprise at least one barrier ring adjacent a base of the second crucible, the barrier ring being positioned in a cavity of the first crucible such that the first crucible, the second crucible, and an outer barrier ring form the outer zone therebetween, and in addition forming at least one transition zone, the barrier ring including a second passageway for the melt to flow through from outer zone into transition zone and then into inner zone. a first crucible defining a cavity for receiving the melt; a second crucible in the cavity, the second crucible separating an outer zone from an inner zone, the second crucible including a passageway therethrough to allow the melt located within the outer zone to move into the inner zone, wherein the inner zone defines a growth area for the ingot; wherein the system does not comprise further crucibles in addition to the first and second crucible; the system further comprising: a barrier located within the outer zone to limit movement of the melt through the outer zone, the barrier including members that are randomly arranged to define a labyrinth for melt flow, wherein the members are free to move, and wherein the members are buoyant such that the solid feedstock material contacts the members prior to melting; provided that the system does not comprise at least one barrier ring adjacent a base of the second crucible, the barrier ring being positioned in a cavity of the first crucible such that the first crucible, the second crucible, and an outer barrier ring form the outer zone therebetween, and in addition forming at least one transition zone, the barrier ring including a second passageway for the melt to flow through from outer zone into transition zone and then into inner zone. a barrier located within the outer zone to limit movement of the melt through the outer zone, the barrier including members that are randomly arranged to define a labyrinth for melt flow, wherein the members are free to move, and wherein the members are buoyant such that the solid feedstock material contacts the members prior to melting; provided that the system does not comprise at least one barrier ring adjacent a base of the second crucible, the barrier ring being positioned in a cavity of the first crucible such that the first crucible, the second crucible, and an outer barrier ring form the outer zone therebetween, and in addition forming at least one transition zone, the barrier ring including a second passageway for the melt to flow through from outer zone into transition zone and then into inner zone.